Modeling and Analysis of the Interaction of Neutral and Drug Populations: A Competing Species Model
Keywords:
Drugs, competing species model, equilibrium solutions, stability at equilibrium solutions
Abstract
The rise of the drug population in the United States has brought concern, debate, and contention to the modern world. The strategies of the drug cartels are national and are no longer concentrated in a particular location. In this paper, we present a dynamical model of the interaction between the drug cartel and the DEA population. The formulation is based on models of interactions between competitive species [3] type dynamics. An exploration of the long-term dynamics and stability of homogeneous equilibrium solutions and their stability is given. The paper is given in five parts. Part one analyzes the current populations. Part two analyzes the situation when an additional number of drug users are introduced into the drug population. Part three analyzes the situation when there is a decline in the drug population. Part four analyzes the situation when the drug population goes to zero. Part five presents conclusions based on parts one through four.
References
1. Adams, E. 1990. Interview.DAWN Briefings 6(4):5.
2. Adams, E.H., A.J. Blanken, L.D. Ferguson, and A. Kopstein 1990. Overview of Selected Drug Trends. Rockville, Md.: National Institute on Drug Abuse.
3. Akers, R.L., M.D. Krohn, L. Lanza-Kaduco, and M. Radosevich 1979. Social learning and deviant behavior: a specific test of a general theory. American Sociological Review 44(4):636-755. [PubMed]
4. American Psychiatric Association 1987. Diagnostic and Statistical Manual of Mental Disorders, 3rd ed., revised. Washington, D.C.: American Psychiatric Association.
5. Aquilino, W.S., and L.A. Losciuto 1990. Effects of interview mode on self-reported drug use. Public Opinion Quarterly 56:362-295.
6. Austin, G.A., and M.J. Gilbert 1989. Substance abuse among Latino youth. Prevention Research Update 3:1-26.
7. Bachman, J.G., J.M. Wallace, Jr., P.M. O'Malley, L.D. Johnston, C.L. Kurth, and H.W. Neighbors 1991.Racial/ethnic differences in smoking, drinking, and illicit drug use among American high school seniors, 1976-89. American Journal of Public Health 81:372-377. [PMC free article] [PubMed]
8. Barnes, G.M., and J.M. Welte 1987. Patterns and predictors of alcohol use among 7-12th grade students in New York State. Journal of Studies on Alcohol 47:53-62. [PubMed]
9. Barth, R.P. 1991. Educational implications of prenatally drug-exposed children. Social Work in Education13(2):130-136.
10. Blanken, A. 1989. Epidemiologic Trends in Drug Abuse. In Proceedings of the Community Epidemiology Work Group: June 1989. Rockville, Md.: National Institute on Drug Abuse.
11. Block, R.K., S. Farnham, K. Braverman, R. Noyes, Jr., and M.M. Ghoneim 1990. Long-term marijuana use and subsequence effects on learning and cognitive functions related to school achievement: preliminary study. Pp. 96-111 in J.W. Spencer, editor; and J.J. Boren, editor. , eds., Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
12. Booth, R., S. Koester, J.T. Brewster, W.W. Weibel, and R.B. Fritz 1991. Intravenous drug users and AIDS: risk behaviors. American Journal of Drug and Alcohol Abuse 17(3):337-353. [PubMed]
13. Buchanan, D. 1991. How teens think about drugs: insights from moral reasoning and social bonding theory. International Quarterly of Community Health Education 11:315-332. [PubMed]
14. Buchanan, D.R. 1992. An uneasy alliance: combining qualitative and quantitative research methods. Health Education Quarterly 19:117-135. [PubMed]
15. Centers for Disease Control 1987. HIV infection prevalence among groups at recognized risk. Morbidity and Mortality Weekly Report 36(Suppl. S-6). Atlanta, Ga.: Centers for Disease Control.
16. Centers for Disease Control 1990. HIV/AIDS Surveillance. April . Table 4. Atlanta, Ga.: Centers for Disease Control.
17. Chaiken, J., and M.R. Chaiken 1982. Varieties of Criminal Behavior. Santa Monica, Calif.: The Rand Corporation.
18. Chasnoff, I.J., editor. , ed. 1989. Drugs, Alcohol, Pregnancy and Parenting. Hingham, Mass.: Kluwer Academic Publishers.
19. Chasnoff, I.J., D.R. Griffith, S. MacGregor, K. Dirkes, and K.A. Burns 1989. Temporal patterns of cocaine use in pregnancy. Journal of the American Medical Association 261(12):1741-1744. [PubMed]
20. Chasnoff, I.J., H.J. Landress, and M.E. Barrett 1990. The prevalence of illicit-drug or alcohol use during pregnancy and discrepancies in mandatory reporting in Pinellas County, Florida. New England Journal of Medicine 322:1202-1206. [PubMed]
21. Chavez, G.F., J. Mulinare, and J.F. Cordero 1989. Maternal cocaine use during early pregnancy as a risk factor for congenital urogenital anomalies. Journal of the American Medical Association 262(6):795-798. [PubMed]
22. Chitwood, D.D., C.B. McCoy, and M. Comerford 1990. Risk behavior of intravenous drug users. Pp. 120-133 in C.G. Leukefeld, editor. et al., eds., AIDS and Intravenous Drug Use. New York: Hemisphere Publishing Corporation.
23. Clayton, R.R., and H.L. Voss 1981. Young Men and Drugs in Manhattan: A Causal Analysis. NIDA Research Monograph 19. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
24. Clayton, R.R., and B.S. Tuchfield 1982. The drug-crime debate: obstacles to understanding the relationship. Journal of Drug Issues 12(2):153-166.
25. Clayton, R.R., H.L. Voss, and L.A. LoSciuto 1987. Gateway drugs: what are the stages people go through in becoming drug abusers. Pharmacy Times 53(March):38-35.
26. Community Epidemiology Working Group 1992. a Epidemiologic Trends in Drug Abuse: Proceedings, Community Epidemiology Work Group, December, 1991. DHHS Pub. No. (ADM)92-1918. Rockville, Md.: National Institute on Drug Abuse.
27. Community Epidemiology Working Group 1992. b Epidemiologic Trends in Drug Abuse: Proceedings, Community Epidemiology Work Group, June, 1992. DHHS Pub. No. (ADM)92-1958. Rockville, Md.: National Institute on Drug Abuse.
28. Courtwright, D.T. 1992. A century of American narcotic policy. Pp.1-62 in D.R. Gerstein, editor; and H.J. Harwood, editor. , eds., Treating Drug Problems, Vol.2. Committee for the Substance Abuse Coverage Study, Institute of Medicine. Washington, D.C.: National Academy Press.
29. Crider, R.A. 1985. Heroin incidence: a trend comparison between national household survey data and indicator data. Pp. 125-140 in B.A. Rouse, editor. et al., eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
30. Dembo, R., L. Willrams, J. Schmeidler, E.D. Wish, A. Getreu, and E. Berry 1991. Juvenile crime and drug abuse: a prospective study of high risk youth. Journal of Addictive Diseases 11:5-31. [PubMed]
31. Donovan, J.E., and R. Jessor 1985. Structure of problem behavior in adolescence and young adulthood. Journal of Consulting and Clinical Psychology 53:890-904. [PubMed]
32. Duncan, D.F. 1988. Epidemiology: Basis for Disease Prevention and Health Promotion. New York: Macmillan Publishing Co.
33. Duster, T. 1970. The Legislation of Morality. New York: Free Press.
34. Elliott, D.S., and D. Huizinga 1984. The Relationship Between Delinquent Behavior and ADM Problem Behaviors. Paper prepared for the ADAMHA/OJJDP State of the Art Research Conference on Juvenile Offenders with Serious Drug/Alcohol and Mental Health Problems, Bethesda, Md.
35. Faupel, C.E. 1988. Heroin use, crime and employment status. Journal of Drug Issues 18(3):467-479.
36. Feldman, H.W. 1968. Ideological supports to becoming and remaining a heroin addict. Journal of Health and Social Behavior 9:121-139. [PubMed]
37. Feucht, T.E., R.C. Stephens, and S.W. Roman 1990. The sexual behavior of intravenous drug users: assessing the risk of sexual transmission of HIV. Journal of Drug Issues 20(2):195-213.
38. Forman, S.G., and J.A. Linney 1991. Increasing the validity of self-report data in effectiveness trials. In C.G. Leukefeld, editor; and W.J. Bukoski, editor. , eds., Drug Abuse Prevention Intervention Research: Methodologic Issues. NIDA Research Monograph 107. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
39. Frank, B. 1985. Telephone surveying for drug abuse: methodological issues and an application. In B.A. Rouse, editor. et al., eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse.
40. Friedman, G.H., and R.S. Klein 1987. Transmission of the human immunodeficiency virus. New England Journal of Medicine 317:1125-1135. [PubMed]
41. Fullilove, M.T., and R.E. Fullilove 1989. Intersecting epidemics: black teen crack use and sexually transmitted disease. Journal of the American Medicine Women's Association 44:146-153. [PubMed]
42. Gerstein, D.R., editor; , and H.J. Harwood, editor. , eds. 1990. Treating Drug Problems, Vol. 1. Committee for the Substance Abuse Coverage Study, Institute of Medicine. Washington, D.C.: National Academy Press.
43. Green, L.W., and D. Simons-Morton 1991. Education and lifestyle determinants of health and disease. Pp. 181-196 in W.W. Holland, editor; , R. Detels, editor; , and G. Knox, editor. , eds., Oxford Textbook of Public Health: Influences of Public Health, 2nd ed., Vol. 1. New York: Oxford University Press.
44. Hamburg, B.A., H.C. Kraemer, and W. Jahnke 1975. A hierarchy of drug use in adolescence: behavioral and attitudinal correlates of substantial drug use. American Journal of Psychiatry 132(11):1155-1163. [PubMed]
45. Harwood, H., D.M. Napolitano, P.L. Christensen, and J.J. Collins 1984. Economic Costs to Society of Alcohol and Drug Abuse and Mental Illness: 1980. Report to the Alcohol, Drug Abuse and Mental Health Administration. Research Triangle Institute, Research Triangle Park, N.C.
46. Hauser, R., and D. Featherman 1977. The Process of Stratification: Trends and Analysis. New York: Academic Press.
47. Hawkins, J.D., D.M. Lishner, J.M. Jensen, and R.F. Catalano 1987. Delinquents and drugs: what the evidence suggests about treatment programming. Pp. 81-131 in B.S. Brown, editor; and A.R. Mills, editor. , eds., Youth at High Risk for Substance Abuse. Rockville, Md.: National Institute on Drug Abuse.
48. Henningfield, J.E. 1984. Behavioral pharmacology of cigarette smoking. Pp. 131-210 in T. Thompson, editor. et al., eds., Advances in Behavioral Pharmacology, Vol. 4. Hillsdale, N.J.: Lawrence Erlbaum Associates.
49. Henningfield, J.E., R.R. Clayton, and W. Pollin 1990. The involvement of tobacco in alcoholism and illicit drug use. British Journal of Addiction 85:279-292. [PubMed]
50. Herd, D. 1989. The epidemiology of drinking patterns and alcohol related problems among U.S. Blacks. Pp. 3-50 in D.L. Spiegler, editor. et al., eds., Alcohol Use Among U.S. Ethnic Minorities. NIAAA DHHS Pub. No. (ADM)89-1435. Washington, D.C.: U.S. Government Printing Office.
51. Hoegsberg, B., T. Dotson, O. Abulafia et al. 1989. Social, Sexual and Drug Use Profile of HIV(+) and HIV(-) Women with PID. Paper presented at the V International Conference on AIDS, Montreal.
52. Hollingshead, A.B. 1957. The Two-Factor Index of Social Position. New Haven, Conn.: privately published.
53. Holmberg, M.B. 1985. Longitudinal studies of drug abuse in a fifteen-year-old population. ActaPsychiatricaScandinavica 16:129-136. [PubMed]
54. Hubbard, R.L., M.E. Marsden, J.V. Rachal, H.J. Harwood, E.R. Cavanaugh, and H.M. Ginzburg 1989. Drug Abuse Treatment: A National Study of Effectiveness. Chapel Hill: The University of North Carolina Press.
55. Institute of Medicine 1989. Prevention and Treatment of Alcohol Problems: Research Opportunities. Washington, D.C.: National Academy Press.
56. Jaffe, J.H. 1990. Drug addiction and drug abuse. Pp. 522-573 in Goodman and Gilman's the Pharmacological Basis of Therapeutics, 8th ed. New York: Pergamon Press.
57. Jessor, R. 1983. A psychosocial perspective on adolescent substance use. In I.F. Litt, editor. , ed., Adolescent Substance Abuse: Report on the Fourteenth Ross Roundtable. Columbus, Ohio: Ross Laboratories.
58. Jessor, R. 1991. Risk behavior in adolescence: a psychosocial framework for understanding and action. Journal of Adolescent Health Care 12:597-605. [PubMed]
59. Jessor, R., and S.L. Jessor 1977. Problem Behavior and Psychosocial Development: A Longitudinal Study of Youth. New York: Academic Press.
60. Johnston, L.D., and P.M. O'Malley 1986. Why do the nation's students use drugs and alcohol? Self-reported reasons from nine national surveys. Journal of Drug Issues 16(1):29-66.
61. Johnston, L.D., P.M. O'Malley, and J.G. Bachman 1991. a Drug Use, Drinking, and Smoking: National Survey Results from High School, College, and Young Adult Populations: 1975-1990 . Vol. 1 . High School Seniors. DHHS Pub. No. (ADM) 91-1813. Rockville, Md.: National Institute on Drug Abuse.
62. Johnston, L.D., P.M. O'Malley, and J.G. Bachman 1991. b Drug Use, Drinking, and Smoking: National Survey Results from High School, College, and Young Adult Populations: 1975-1990 , Vol. 2 . College Students and Young Adults. DHHS Pub. No. (ADM) 91-1835. Rockville, Md.: National Institute on Drug Abuse.
63. Jonsen, A., editor. , ed. 1993. The Social Impact of AIDS. Panel on Monitoring the Social Impact of AIDS, Committee on AIDS Research and the Behavior, Social and Statistical Sciences, National Research Council. Washington, D.C.: National Academy Press.
64. Kandel, D.B. 1975. Stages of adolescent involvement in drug use. Science 190:912-914. [PubMed]
65. Kandel, D.B., and J.A. Logan 1984. Patterns of drug use from adolescence to young adulthood: I. Periods of risk for initiation, continuation, and discontinuation. American Journal of Public Health 74(7):660-665. [PMC free article] [PubMed]
66. Kandel, D.B., E. Single, and R.C. Kessler 1976. The epidemiology of drug use among New York state high school students: distribution, trends, and change in rates of use. American Journal of Public Health 66:43-53. [PMC free article] [PubMed]
67. Kandel, D.B., M. Davies, M. Karus, and K. Yamaguchi 1986. The consequences in young adulthood of adolescent drug involvement: an overview. Archives of General Psychiatry 43(8):746-754. [PubMed]
68. Koren, G., K. Graham, H. Shear, and T. Einarson 1989. Bias against the null hypothesis: the reproductive hazards of cocaine. Lancet 16:1440-1442. [PubMed]
69. Kusserow, R.P. 1990. Cocaine Exposed Infants. Office of Inspector General. Washington, D.C.: U.S. Department of Health and Human Services.
70. Last, J.M., and R.B. Wallace 1991. Maxcy-Rosenau Public Health and Preventive Medicine, 13th ed. Norwalk, Calif.: Appleton-Century-Crofts.
71. LeBlanc, P.E., A.J. Parekh, B. Naso, et al. 1987. Effects of intrauterine exposure to alkaloidal cocaine (crack). American Journal of Disease in Childhood 141:937-938. [PubMed]
72. Levison, P.K., D.R. Gerstein, and D.R. Maloff 1983. Commonalities in Substance Abuse and Habitual Behavior. Committee of Substance Abuse and Habitual Behavior, National Research Council. Lexington, Mass.: Lexington Books.
73. Lidz, C., and A. Walker 1980. Heroin, Deviants and Morality. Beverly Hills, Calif.: Sage Publications.
74. McAuliffe, W.E., P. Breer, N.W. Ahmadifer, and C. Spino 1991. Assessment of drug abuser treatment needs in Rhode Island. American Journal of Public Health 81:365-370. [PMC free article] [PubMed]
75. McBride, D.C., and C.B. McCoy 1982. Crime and drugs: the issues and literature. Journal of Drug Issues12(2):137-151.
76. McKirnan, D.J., and T. Johnston 1986. Alcohol and drug use among "street" adolescents. Addictive Behaviors11:201-205. [PubMed]
77. Mensch, B.S., and D.B. Kandel 1988. Do job conditions influence the use of drugs? Journal of Health and Social Behavior 29(June):169-184. [PubMed]
78. Miller, J.D. 1985. The nominative technique: a new method of estimating prevalence. In B.A. Rouse, editor; , N.J. Kozel, editor; , and L.G. Richards, editor. , eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse.
79. Moncher, M.S., G.W. Holden, and S.P. Schinke 1991. Psychosocial correlates of adolescent substance use: a review of current etiological constructs. International Journal of the Addictions 26(4):377-414. [PubMed]
80. Murray, D., and C.L. Perry 1984. Functional Meaning of Adolescent Drug Use. Paper presented at a meeting of the American Psychological Association, Toronto.
81. Murray, D.M., and C.L. Perry 1987. The measurement of substance use among adolescents: when is the "bogus pipeline" method needed? Addictive Behaviors 12(3):225-233. [PubMed]
82. Musto, D. 1987. The American Disease, 2nd ed. New Haven, Conn.: Yale University Press.
83. Nathan, P.E. 1990. Residual effects of alcohol. Pp. 112-123 in J.W. Spencer, editor; and J.J. Boren, editor. , eds., Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse.
84. National Institute on Drug Abuse 1991. a National Household Survey on Drug Abuse: Populations Estimates 1990. DHHS Pub. No. (ADM)91-1732. Rockville, Md.: National Institute on Drug Abuse.
85. National Institute on Drug Abuse 1991. b National Household Survey on Drug Abuse: Main Findings 1990. DHHS Pub. No. (ADM) 91-1778. Rockville, Md.: National Institute on Drug Abuse.
86. Newcomb, M.D., and P.M. Bentler 1986. Frequency and sequence of drug use: a longitudinal study from early adolescence to young adulthood. Journal of Drug Education 16(2):101-120. [PubMed]
87. Newcomb, M.D., E. Maddahain, R. Skager, and P.M. Bentler 1987. Substance abuse and psychosocial risk factors among teenagers: association with sex, age, ethnicity, and type of school. American Journal of Drug and Alcohol Abuse 13:413-433. [PubMed]
88. New York Times 1990. Washington Talk: Drug War Underlines Fickleness of Public. Sept. 6:PA22.
89. O'Donnell, J.A., and R.R. Clayton 1982. The stepping stone hypothesis—marijuana, heroin, and causality. Chemical Dependencies: Behavioral and Biomedical Issues 4:229-241. [PubMed]
90. O'Donnell, J.A., H.L. Voss, R.R. Clayton, G.T. Slatin, and R. Room 1976. Young Men and Drugs: A Nationwide Survey. NIDA Research Monograph 5. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
91. Oetting, E.R., and F. Beauvis 1990. Adolescent drug use: findings of national and local surveys. Journal of Consulting and Clinical Psychology 58(4):385-394. [PubMed]
92. O'Neil, J.A., and C. Visher 1992. Drug Use Forecasting Quarterly Report, 2nd Quarter, 1991. Washington, D.C.: U.S. Department of Justice.
93. Pederson, L.L., and N.M. Lefcoe 1985. Cross-sectional analysis of variables related to cigarette smoking in late adolescence. Journal of Drug Education 15(3):225-240. [PubMed]
94. Peterson, L., and H.B. Braiker 1980. Doing Crime: A Survey of California Prison Inmates. Santa Monica, Calif.: The Rand Corporation.
95. President's Advisory Commission on Narcotics and Drug Abuse 1963. Final Report. Washington, D.C.: U.S. Government Printing Office.
96. Puccio, P.S., and R.S. Simeone 1991. Drug and Other Substance Use Among School Children in New York State. Albany, N.Y.: New York State Division of Substance Abuse Services.
97. Rice, D.P., S. Kelman, L. Miller, and S. Dunmeyer 1990. The Economic Costs of Alcohol, Drug Abuse, and Mental Illness—1985. Institute for Health and Aging, University of California, San Francisco.
98. Rogers, E.M. 1983. Diffusion of Innovations, 3rd ed. New York: Free Press.
99. Rouse, B.A., editor; , N.J. Coxal, editor; , and L.G. Richards, editor. , eds. 1985. Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
100. Siegel, R.K. 1992. Repeating cycles of cocaine use and abuse. Pp. 289-316 in D.R. Gerstein, editor; and H.J. Harwood, editor. , eds., Treating Drug Problems, Vol. II. Committee for the Substance Abuse Coverage Study, National Research Council. Washington, D.C.: National Academy Press.
101. Simcha-Fagen, O., J.C. Gersten, and T.S. Langer 1986. Early precursors and concurrent correlates of patterns of illicit drug use in adolescence. Journal of Drug Issues 16(1):7-28.
102. Simons-Morton, B.G., S.G. Brink, D.G. Simons-Morton, R. McIntyre, M. Chapman, J. Longoria, and G.S. Parcel 1989. An ecological approach to the prevention of injuries due to drinking and driving. Health Education Quarterly 16:397-411. [PubMed]
103. Sirken, M.L. 1975. Network surveys of rare and sensitive conditions. Pp. 31-32 in Advances in Health Survey Research Methods . Proceedings. Hyattsville, Md.: National Center on Health Statistics.
104. Spencer, B.D. 1989. On the accuracy of current estimates of the numbers of intravenous drug users. Pp. 429-446 in C.F. Turner, editor. et al., eds., AIDS: Sexual Behavior and Intravenous Drug Use. Committee on AIDS Research and the Behavioral, Social and Statistical Sciences. Washington, D.C.: National Academy Press.
105. Spencer, J.W., editor; , and J.J. Boren, editor. , eds. 1990. Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
106. Thompson, T., and C. Simmons-Cooper 1988. Chemical dependency treatment and black adolescents. Journal of Drug Issues 18(1):21-31.
107. Turner, C.F., H.G. Miller, and L.E. Moses 1989. AIDS: Sexual Behavior and Intravenous Drug Use. Committee on AIDS Research and the Behavioral, Social, and Statistical Sciences, Commission on Behavioral and Social Sciences and Education, National Research Council. Washington, D.C.: National Academy Press. [PubMed]
108. Wallace, J.M., Jr., and J.G. Bachman 1991. Explaining racial/ethnic differences in adolescent drug use: the impact of background and lifestyle. Social Problems 38(3):333-357.
109. Warner, S.L. 1965. Randomized response: a survey technique for estimating evasive answer bias. Journal of the American Statistical Association 60:63-69. [PubMed]
110. Watts, T.D., and W. Wright, Jr. 1983. Black Alcoholism: Toward a Comprehensive Understanding. Springfield, Ill.: Charles C Thomas Publishing.
111. Werch, C.E., D.R. Gorman, P.J. Marty, J. Forbess, and B. Brown 1987. Effects of the bogus pipeline on enhancing validity of self-reported adolescent drug use measures. Journal of School Health 57:232-236. [PubMed]
112. White House 1992. National Drug Control Strategy: A Nation Responds to Drug Use—Budget Summary. Washington, D.C.: White House.
113. World Health Organization 1992. International Statistical Classification of Diseases, Injuries, and Causes of Death, 10th ed. Geneva: World Health Organization.
114. Yamaguchi, K., and D.B. Kandel 1984. a Patterns of drug use from adolescence to young adulthood: II. Sequences of progression. American Journal of Public Health 74(7):668-672. [PMC free article] [PubMed]
115. Yamaguchi, K., and D.B. Kandel 1984. b Patterns of drug use from adolescence to young adulthood: III. Predictors of progression. American Journal of Public Health 74(7):673-681. [PMC free article] [PubMed]
116. Zuckerman, B., D.A. Frank, R. Hingson, and H. Amara 1989. Effects of maternal marijuana and cocaine use on fetal growth. New England Journal of Medicine 320(12):762-768. [PubMed]
2. Adams, E.H., A.J. Blanken, L.D. Ferguson, and A. Kopstein 1990. Overview of Selected Drug Trends. Rockville, Md.: National Institute on Drug Abuse.
3. Akers, R.L., M.D. Krohn, L. Lanza-Kaduco, and M. Radosevich 1979. Social learning and deviant behavior: a specific test of a general theory. American Sociological Review 44(4):636-755. [PubMed]
4. American Psychiatric Association 1987. Diagnostic and Statistical Manual of Mental Disorders, 3rd ed., revised. Washington, D.C.: American Psychiatric Association.
5. Aquilino, W.S., and L.A. Losciuto 1990. Effects of interview mode on self-reported drug use. Public Opinion Quarterly 56:362-295.
6. Austin, G.A., and M.J. Gilbert 1989. Substance abuse among Latino youth. Prevention Research Update 3:1-26.
7. Bachman, J.G., J.M. Wallace, Jr., P.M. O'Malley, L.D. Johnston, C.L. Kurth, and H.W. Neighbors 1991.Racial/ethnic differences in smoking, drinking, and illicit drug use among American high school seniors, 1976-89. American Journal of Public Health 81:372-377. [PMC free article] [PubMed]
8. Barnes, G.M., and J.M. Welte 1987. Patterns and predictors of alcohol use among 7-12th grade students in New York State. Journal of Studies on Alcohol 47:53-62. [PubMed]
9. Barth, R.P. 1991. Educational implications of prenatally drug-exposed children. Social Work in Education13(2):130-136.
10. Blanken, A. 1989. Epidemiologic Trends in Drug Abuse. In Proceedings of the Community Epidemiology Work Group: June 1989. Rockville, Md.: National Institute on Drug Abuse.
11. Block, R.K., S. Farnham, K. Braverman, R. Noyes, Jr., and M.M. Ghoneim 1990. Long-term marijuana use and subsequence effects on learning and cognitive functions related to school achievement: preliminary study. Pp. 96-111 in J.W. Spencer, editor; and J.J. Boren, editor. , eds., Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
12. Booth, R., S. Koester, J.T. Brewster, W.W. Weibel, and R.B. Fritz 1991. Intravenous drug users and AIDS: risk behaviors. American Journal of Drug and Alcohol Abuse 17(3):337-353. [PubMed]
13. Buchanan, D. 1991. How teens think about drugs: insights from moral reasoning and social bonding theory. International Quarterly of Community Health Education 11:315-332. [PubMed]
14. Buchanan, D.R. 1992. An uneasy alliance: combining qualitative and quantitative research methods. Health Education Quarterly 19:117-135. [PubMed]
15. Centers for Disease Control 1987. HIV infection prevalence among groups at recognized risk. Morbidity and Mortality Weekly Report 36(Suppl. S-6). Atlanta, Ga.: Centers for Disease Control.
16. Centers for Disease Control 1990. HIV/AIDS Surveillance. April . Table 4. Atlanta, Ga.: Centers for Disease Control.
17. Chaiken, J., and M.R. Chaiken 1982. Varieties of Criminal Behavior. Santa Monica, Calif.: The Rand Corporation.
18. Chasnoff, I.J., editor. , ed. 1989. Drugs, Alcohol, Pregnancy and Parenting. Hingham, Mass.: Kluwer Academic Publishers.
19. Chasnoff, I.J., D.R. Griffith, S. MacGregor, K. Dirkes, and K.A. Burns 1989. Temporal patterns of cocaine use in pregnancy. Journal of the American Medical Association 261(12):1741-1744. [PubMed]
20. Chasnoff, I.J., H.J. Landress, and M.E. Barrett 1990. The prevalence of illicit-drug or alcohol use during pregnancy and discrepancies in mandatory reporting in Pinellas County, Florida. New England Journal of Medicine 322:1202-1206. [PubMed]
21. Chavez, G.F., J. Mulinare, and J.F. Cordero 1989. Maternal cocaine use during early pregnancy as a risk factor for congenital urogenital anomalies. Journal of the American Medical Association 262(6):795-798. [PubMed]
22. Chitwood, D.D., C.B. McCoy, and M. Comerford 1990. Risk behavior of intravenous drug users. Pp. 120-133 in C.G. Leukefeld, editor. et al., eds., AIDS and Intravenous Drug Use. New York: Hemisphere Publishing Corporation.
23. Clayton, R.R., and H.L. Voss 1981. Young Men and Drugs in Manhattan: A Causal Analysis. NIDA Research Monograph 19. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
24. Clayton, R.R., and B.S. Tuchfield 1982. The drug-crime debate: obstacles to understanding the relationship. Journal of Drug Issues 12(2):153-166.
25. Clayton, R.R., H.L. Voss, and L.A. LoSciuto 1987. Gateway drugs: what are the stages people go through in becoming drug abusers. Pharmacy Times 53(March):38-35.
26. Community Epidemiology Working Group 1992. a Epidemiologic Trends in Drug Abuse: Proceedings, Community Epidemiology Work Group, December, 1991. DHHS Pub. No. (ADM)92-1918. Rockville, Md.: National Institute on Drug Abuse.
27. Community Epidemiology Working Group 1992. b Epidemiologic Trends in Drug Abuse: Proceedings, Community Epidemiology Work Group, June, 1992. DHHS Pub. No. (ADM)92-1958. Rockville, Md.: National Institute on Drug Abuse.
28. Courtwright, D.T. 1992. A century of American narcotic policy. Pp.1-62 in D.R. Gerstein, editor; and H.J. Harwood, editor. , eds., Treating Drug Problems, Vol.2. Committee for the Substance Abuse Coverage Study, Institute of Medicine. Washington, D.C.: National Academy Press.
29. Crider, R.A. 1985. Heroin incidence: a trend comparison between national household survey data and indicator data. Pp. 125-140 in B.A. Rouse, editor. et al., eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
30. Dembo, R., L. Willrams, J. Schmeidler, E.D. Wish, A. Getreu, and E. Berry 1991. Juvenile crime and drug abuse: a prospective study of high risk youth. Journal of Addictive Diseases 11:5-31. [PubMed]
31. Donovan, J.E., and R. Jessor 1985. Structure of problem behavior in adolescence and young adulthood. Journal of Consulting and Clinical Psychology 53:890-904. [PubMed]
32. Duncan, D.F. 1988. Epidemiology: Basis for Disease Prevention and Health Promotion. New York: Macmillan Publishing Co.
33. Duster, T. 1970. The Legislation of Morality. New York: Free Press.
34. Elliott, D.S., and D. Huizinga 1984. The Relationship Between Delinquent Behavior and ADM Problem Behaviors. Paper prepared for the ADAMHA/OJJDP State of the Art Research Conference on Juvenile Offenders with Serious Drug/Alcohol and Mental Health Problems, Bethesda, Md.
35. Faupel, C.E. 1988. Heroin use, crime and employment status. Journal of Drug Issues 18(3):467-479.
36. Feldman, H.W. 1968. Ideological supports to becoming and remaining a heroin addict. Journal of Health and Social Behavior 9:121-139. [PubMed]
37. Feucht, T.E., R.C. Stephens, and S.W. Roman 1990. The sexual behavior of intravenous drug users: assessing the risk of sexual transmission of HIV. Journal of Drug Issues 20(2):195-213.
38. Forman, S.G., and J.A. Linney 1991. Increasing the validity of self-report data in effectiveness trials. In C.G. Leukefeld, editor; and W.J. Bukoski, editor. , eds., Drug Abuse Prevention Intervention Research: Methodologic Issues. NIDA Research Monograph 107. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
39. Frank, B. 1985. Telephone surveying for drug abuse: methodological issues and an application. In B.A. Rouse, editor. et al., eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse.
40. Friedman, G.H., and R.S. Klein 1987. Transmission of the human immunodeficiency virus. New England Journal of Medicine 317:1125-1135. [PubMed]
41. Fullilove, M.T., and R.E. Fullilove 1989. Intersecting epidemics: black teen crack use and sexually transmitted disease. Journal of the American Medicine Women's Association 44:146-153. [PubMed]
42. Gerstein, D.R., editor; , and H.J. Harwood, editor. , eds. 1990. Treating Drug Problems, Vol. 1. Committee for the Substance Abuse Coverage Study, Institute of Medicine. Washington, D.C.: National Academy Press.
43. Green, L.W., and D. Simons-Morton 1991. Education and lifestyle determinants of health and disease. Pp. 181-196 in W.W. Holland, editor; , R. Detels, editor; , and G. Knox, editor. , eds., Oxford Textbook of Public Health: Influences of Public Health, 2nd ed., Vol. 1. New York: Oxford University Press.
44. Hamburg, B.A., H.C. Kraemer, and W. Jahnke 1975. A hierarchy of drug use in adolescence: behavioral and attitudinal correlates of substantial drug use. American Journal of Psychiatry 132(11):1155-1163. [PubMed]
45. Harwood, H., D.M. Napolitano, P.L. Christensen, and J.J. Collins 1984. Economic Costs to Society of Alcohol and Drug Abuse and Mental Illness: 1980. Report to the Alcohol, Drug Abuse and Mental Health Administration. Research Triangle Institute, Research Triangle Park, N.C.
46. Hauser, R., and D. Featherman 1977. The Process of Stratification: Trends and Analysis. New York: Academic Press.
47. Hawkins, J.D., D.M. Lishner, J.M. Jensen, and R.F. Catalano 1987. Delinquents and drugs: what the evidence suggests about treatment programming. Pp. 81-131 in B.S. Brown, editor; and A.R. Mills, editor. , eds., Youth at High Risk for Substance Abuse. Rockville, Md.: National Institute on Drug Abuse.
48. Henningfield, J.E. 1984. Behavioral pharmacology of cigarette smoking. Pp. 131-210 in T. Thompson, editor. et al., eds., Advances in Behavioral Pharmacology, Vol. 4. Hillsdale, N.J.: Lawrence Erlbaum Associates.
49. Henningfield, J.E., R.R. Clayton, and W. Pollin 1990. The involvement of tobacco in alcoholism and illicit drug use. British Journal of Addiction 85:279-292. [PubMed]
50. Herd, D. 1989. The epidemiology of drinking patterns and alcohol related problems among U.S. Blacks. Pp. 3-50 in D.L. Spiegler, editor. et al., eds., Alcohol Use Among U.S. Ethnic Minorities. NIAAA DHHS Pub. No. (ADM)89-1435. Washington, D.C.: U.S. Government Printing Office.
51. Hoegsberg, B., T. Dotson, O. Abulafia et al. 1989. Social, Sexual and Drug Use Profile of HIV(+) and HIV(-) Women with PID. Paper presented at the V International Conference on AIDS, Montreal.
52. Hollingshead, A.B. 1957. The Two-Factor Index of Social Position. New Haven, Conn.: privately published.
53. Holmberg, M.B. 1985. Longitudinal studies of drug abuse in a fifteen-year-old population. ActaPsychiatricaScandinavica 16:129-136. [PubMed]
54. Hubbard, R.L., M.E. Marsden, J.V. Rachal, H.J. Harwood, E.R. Cavanaugh, and H.M. Ginzburg 1989. Drug Abuse Treatment: A National Study of Effectiveness. Chapel Hill: The University of North Carolina Press.
55. Institute of Medicine 1989. Prevention and Treatment of Alcohol Problems: Research Opportunities. Washington, D.C.: National Academy Press.
56. Jaffe, J.H. 1990. Drug addiction and drug abuse. Pp. 522-573 in Goodman and Gilman's the Pharmacological Basis of Therapeutics, 8th ed. New York: Pergamon Press.
57. Jessor, R. 1983. A psychosocial perspective on adolescent substance use. In I.F. Litt, editor. , ed., Adolescent Substance Abuse: Report on the Fourteenth Ross Roundtable. Columbus, Ohio: Ross Laboratories.
58. Jessor, R. 1991. Risk behavior in adolescence: a psychosocial framework for understanding and action. Journal of Adolescent Health Care 12:597-605. [PubMed]
59. Jessor, R., and S.L. Jessor 1977. Problem Behavior and Psychosocial Development: A Longitudinal Study of Youth. New York: Academic Press.
60. Johnston, L.D., and P.M. O'Malley 1986. Why do the nation's students use drugs and alcohol? Self-reported reasons from nine national surveys. Journal of Drug Issues 16(1):29-66.
61. Johnston, L.D., P.M. O'Malley, and J.G. Bachman 1991. a Drug Use, Drinking, and Smoking: National Survey Results from High School, College, and Young Adult Populations: 1975-1990 . Vol. 1 . High School Seniors. DHHS Pub. No. (ADM) 91-1813. Rockville, Md.: National Institute on Drug Abuse.
62. Johnston, L.D., P.M. O'Malley, and J.G. Bachman 1991. b Drug Use, Drinking, and Smoking: National Survey Results from High School, College, and Young Adult Populations: 1975-1990 , Vol. 2 . College Students and Young Adults. DHHS Pub. No. (ADM) 91-1835. Rockville, Md.: National Institute on Drug Abuse.
63. Jonsen, A., editor. , ed. 1993. The Social Impact of AIDS. Panel on Monitoring the Social Impact of AIDS, Committee on AIDS Research and the Behavior, Social and Statistical Sciences, National Research Council. Washington, D.C.: National Academy Press.
64. Kandel, D.B. 1975. Stages of adolescent involvement in drug use. Science 190:912-914. [PubMed]
65. Kandel, D.B., and J.A. Logan 1984. Patterns of drug use from adolescence to young adulthood: I. Periods of risk for initiation, continuation, and discontinuation. American Journal of Public Health 74(7):660-665. [PMC free article] [PubMed]
66. Kandel, D.B., E. Single, and R.C. Kessler 1976. The epidemiology of drug use among New York state high school students: distribution, trends, and change in rates of use. American Journal of Public Health 66:43-53. [PMC free article] [PubMed]
67. Kandel, D.B., M. Davies, M. Karus, and K. Yamaguchi 1986. The consequences in young adulthood of adolescent drug involvement: an overview. Archives of General Psychiatry 43(8):746-754. [PubMed]
68. Koren, G., K. Graham, H. Shear, and T. Einarson 1989. Bias against the null hypothesis: the reproductive hazards of cocaine. Lancet 16:1440-1442. [PubMed]
69. Kusserow, R.P. 1990. Cocaine Exposed Infants. Office of Inspector General. Washington, D.C.: U.S. Department of Health and Human Services.
70. Last, J.M., and R.B. Wallace 1991. Maxcy-Rosenau Public Health and Preventive Medicine, 13th ed. Norwalk, Calif.: Appleton-Century-Crofts.
71. LeBlanc, P.E., A.J. Parekh, B. Naso, et al. 1987. Effects of intrauterine exposure to alkaloidal cocaine (crack). American Journal of Disease in Childhood 141:937-938. [PubMed]
72. Levison, P.K., D.R. Gerstein, and D.R. Maloff 1983. Commonalities in Substance Abuse and Habitual Behavior. Committee of Substance Abuse and Habitual Behavior, National Research Council. Lexington, Mass.: Lexington Books.
73. Lidz, C., and A. Walker 1980. Heroin, Deviants and Morality. Beverly Hills, Calif.: Sage Publications.
74. McAuliffe, W.E., P. Breer, N.W. Ahmadifer, and C. Spino 1991. Assessment of drug abuser treatment needs in Rhode Island. American Journal of Public Health 81:365-370. [PMC free article] [PubMed]
75. McBride, D.C., and C.B. McCoy 1982. Crime and drugs: the issues and literature. Journal of Drug Issues12(2):137-151.
76. McKirnan, D.J., and T. Johnston 1986. Alcohol and drug use among "street" adolescents. Addictive Behaviors11:201-205. [PubMed]
77. Mensch, B.S., and D.B. Kandel 1988. Do job conditions influence the use of drugs? Journal of Health and Social Behavior 29(June):169-184. [PubMed]
78. Miller, J.D. 1985. The nominative technique: a new method of estimating prevalence. In B.A. Rouse, editor; , N.J. Kozel, editor; , and L.G. Richards, editor. , eds., Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse.
79. Moncher, M.S., G.W. Holden, and S.P. Schinke 1991. Psychosocial correlates of adolescent substance use: a review of current etiological constructs. International Journal of the Addictions 26(4):377-414. [PubMed]
80. Murray, D., and C.L. Perry 1984. Functional Meaning of Adolescent Drug Use. Paper presented at a meeting of the American Psychological Association, Toronto.
81. Murray, D.M., and C.L. Perry 1987. The measurement of substance use among adolescents: when is the "bogus pipeline" method needed? Addictive Behaviors 12(3):225-233. [PubMed]
82. Musto, D. 1987. The American Disease, 2nd ed. New Haven, Conn.: Yale University Press.
83. Nathan, P.E. 1990. Residual effects of alcohol. Pp. 112-123 in J.W. Spencer, editor; and J.J. Boren, editor. , eds., Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse.
84. National Institute on Drug Abuse 1991. a National Household Survey on Drug Abuse: Populations Estimates 1990. DHHS Pub. No. (ADM)91-1732. Rockville, Md.: National Institute on Drug Abuse.
85. National Institute on Drug Abuse 1991. b National Household Survey on Drug Abuse: Main Findings 1990. DHHS Pub. No. (ADM) 91-1778. Rockville, Md.: National Institute on Drug Abuse.
86. Newcomb, M.D., and P.M. Bentler 1986. Frequency and sequence of drug use: a longitudinal study from early adolescence to young adulthood. Journal of Drug Education 16(2):101-120. [PubMed]
87. Newcomb, M.D., E. Maddahain, R. Skager, and P.M. Bentler 1987. Substance abuse and psychosocial risk factors among teenagers: association with sex, age, ethnicity, and type of school. American Journal of Drug and Alcohol Abuse 13:413-433. [PubMed]
88. New York Times 1990. Washington Talk: Drug War Underlines Fickleness of Public. Sept. 6:PA22.
89. O'Donnell, J.A., and R.R. Clayton 1982. The stepping stone hypothesis—marijuana, heroin, and causality. Chemical Dependencies: Behavioral and Biomedical Issues 4:229-241. [PubMed]
90. O'Donnell, J.A., H.L. Voss, R.R. Clayton, G.T. Slatin, and R. Room 1976. Young Men and Drugs: A Nationwide Survey. NIDA Research Monograph 5. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
91. Oetting, E.R., and F. Beauvis 1990. Adolescent drug use: findings of national and local surveys. Journal of Consulting and Clinical Psychology 58(4):385-394. [PubMed]
92. O'Neil, J.A., and C. Visher 1992. Drug Use Forecasting Quarterly Report, 2nd Quarter, 1991. Washington, D.C.: U.S. Department of Justice.
93. Pederson, L.L., and N.M. Lefcoe 1985. Cross-sectional analysis of variables related to cigarette smoking in late adolescence. Journal of Drug Education 15(3):225-240. [PubMed]
94. Peterson, L., and H.B. Braiker 1980. Doing Crime: A Survey of California Prison Inmates. Santa Monica, Calif.: The Rand Corporation.
95. President's Advisory Commission on Narcotics and Drug Abuse 1963. Final Report. Washington, D.C.: U.S. Government Printing Office.
96. Puccio, P.S., and R.S. Simeone 1991. Drug and Other Substance Use Among School Children in New York State. Albany, N.Y.: New York State Division of Substance Abuse Services.
97. Rice, D.P., S. Kelman, L. Miller, and S. Dunmeyer 1990. The Economic Costs of Alcohol, Drug Abuse, and Mental Illness—1985. Institute for Health and Aging, University of California, San Francisco.
98. Rogers, E.M. 1983. Diffusion of Innovations, 3rd ed. New York: Free Press.
99. Rouse, B.A., editor; , N.J. Coxal, editor; , and L.G. Richards, editor. , eds. 1985. Self-Report Methods of Estimating Drug Use: Meeting Current Challenges to Validity. NIDA Research Monograph 57. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
100. Siegel, R.K. 1992. Repeating cycles of cocaine use and abuse. Pp. 289-316 in D.R. Gerstein, editor; and H.J. Harwood, editor. , eds., Treating Drug Problems, Vol. II. Committee for the Substance Abuse Coverage Study, National Research Council. Washington, D.C.: National Academy Press.
101. Simcha-Fagen, O., J.C. Gersten, and T.S. Langer 1986. Early precursors and concurrent correlates of patterns of illicit drug use in adolescence. Journal of Drug Issues 16(1):7-28.
102. Simons-Morton, B.G., S.G. Brink, D.G. Simons-Morton, R. McIntyre, M. Chapman, J. Longoria, and G.S. Parcel 1989. An ecological approach to the prevention of injuries due to drinking and driving. Health Education Quarterly 16:397-411. [PubMed]
103. Sirken, M.L. 1975. Network surveys of rare and sensitive conditions. Pp. 31-32 in Advances in Health Survey Research Methods . Proceedings. Hyattsville, Md.: National Center on Health Statistics.
104. Spencer, B.D. 1989. On the accuracy of current estimates of the numbers of intravenous drug users. Pp. 429-446 in C.F. Turner, editor. et al., eds., AIDS: Sexual Behavior and Intravenous Drug Use. Committee on AIDS Research and the Behavioral, Social and Statistical Sciences. Washington, D.C.: National Academy Press.
105. Spencer, J.W., editor; , and J.J. Boren, editor. , eds. 1990. Residual Effects of Abused Drugs on Behavior. NIDA Research Monograph 101. Rockville, Md.: National Institute on Drug Abuse. [PubMed]
106. Thompson, T., and C. Simmons-Cooper 1988. Chemical dependency treatment and black adolescents. Journal of Drug Issues 18(1):21-31.
107. Turner, C.F., H.G. Miller, and L.E. Moses 1989. AIDS: Sexual Behavior and Intravenous Drug Use. Committee on AIDS Research and the Behavioral, Social, and Statistical Sciences, Commission on Behavioral and Social Sciences and Education, National Research Council. Washington, D.C.: National Academy Press. [PubMed]
108. Wallace, J.M., Jr., and J.G. Bachman 1991. Explaining racial/ethnic differences in adolescent drug use: the impact of background and lifestyle. Social Problems 38(3):333-357.
109. Warner, S.L. 1965. Randomized response: a survey technique for estimating evasive answer bias. Journal of the American Statistical Association 60:63-69. [PubMed]
110. Watts, T.D., and W. Wright, Jr. 1983. Black Alcoholism: Toward a Comprehensive Understanding. Springfield, Ill.: Charles C Thomas Publishing.
111. Werch, C.E., D.R. Gorman, P.J. Marty, J. Forbess, and B. Brown 1987. Effects of the bogus pipeline on enhancing validity of self-reported adolescent drug use measures. Journal of School Health 57:232-236. [PubMed]
112. White House 1992. National Drug Control Strategy: A Nation Responds to Drug Use—Budget Summary. Washington, D.C.: White House.
113. World Health Organization 1992. International Statistical Classification of Diseases, Injuries, and Causes of Death, 10th ed. Geneva: World Health Organization.
114. Yamaguchi, K., and D.B. Kandel 1984. a Patterns of drug use from adolescence to young adulthood: II. Sequences of progression. American Journal of Public Health 74(7):668-672. [PMC free article] [PubMed]
115. Yamaguchi, K., and D.B. Kandel 1984. b Patterns of drug use from adolescence to young adulthood: III. Predictors of progression. American Journal of Public Health 74(7):673-681. [PMC free article] [PubMed]
116. Zuckerman, B., D.A. Frank, R. Hingson, and H. Amara 1989. Effects of maternal marijuana and cocaine use on fetal growth. New England Journal of Medicine 320(12):762-768. [PubMed]
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2020-06-05
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Kazmierczak, A. (2020). Modeling and Analysis of the Interaction of Neutral and Drug Populations: A Competing Species Model. IJO - International Journal of Mathematics (ISSN: 2992-4421 ), 3(05), 01-17. Retrieved from https://www.ijojournals.com/index.php/m/article/view/339
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