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Published September 30, 2021 | Version v1
Journal article Open

Mathematical Modelling of the Addiction of Drug Substances among Students in Tertiary Institutions in Nigeria

Creators

  • 1. n, Department of Microbiology, Faculty of Science, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria

Contributors

  • 1. Department of Microbiology, Faculty of Science, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria

Description

In this paper, we formulated a mathematical model for the addiction of drug substances among students in the tertiary institutions in Nigeria. The model explains the dynamics of the use and the addiction of certain substances that are perceived as mood changing by the students in the tertiary institutions in Nigeria. The drug model will be analysed qualitatively. The basic reproductive number which is the drug addiction number of the mathematical model was determined using the next generation procedure. It was found that the drug free equilibrium point was found to be locally asymptotically stable whenever the drug addiction number is less than one and unstable otherwise. The analysis revealed that an increase in the recruitment rate of students and the rate at which the students return to the use and addiction of drugs would cause an increase in the drug addiction number. There are impacts on interaction among non-drug users and drug users in the system with time. An increase in the contact or limitation rate increases the population of drug users. It is hereby recommended that; government should intensify efforts to reduce or stop the spread of selling and purchasing of the drug substances through government policies among the students in the tertiary institutions in Nigeria.

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References

  • Edgardo Perez Reyes. Mathematical modelling of the spread of alcoholism among Colombian college students. ing Cienc. 2020;16:195-223. doi: 10.17230/ingciencia.16.32.9 Kanyaa JK, Osman S, Wainaina M. Mathematical modelling of substance abuse by commercial drivers. Global Journal of Pure and Applied Mathematics. 2018;14:1149-1165. https://tinyurl.com/ruzhzptr Diekmann O, Heesterbeek JA, Roberts MG. The construction of next-generation matrices for compartmental epidemic models. J R Soc Interface. 2010 Jun 6;7(47):873-85. doi: 10.1098/rsif.2009.0386. Epub 2009 Nov 5. PMID: 19892718; PMCID: PMC2871801. Cushing JM, Diekmann O. The many guises of R0 (a didactic note). J Theor Biol. 2016 Sep 7;404:295-302. doi: 10.1016/j.jtbi.2016.06.017. Epub 2016 Jun 16. PMID: 27320680. Adeyemi OB. A deterministic model for the transmission dynamics of infectious diseases among infants. Elixir Applied Mathematics. 2015;78:29761-29764. https://tinyurl.com/b55pecv3 Hawkins JD, Catalano RF, Arthur MW. Promoting science-based prevention in communities. Addict Behav. 2002 Nov-Dec;27(6):951-76. doi: 10.1016/s0306-4603(02)00298-8. PMID: 12369478. Wills TA, Vaccaro D, McNamara G, Hirky AE. Escalated substance use: a longitudinal grouping analysis from early to middle adolescence. J Abnorm Psychol. 1996 May;105(2):166-80. doi: 10.1037//0021-843x.105.2.166. PMID: 8722998. National Research Council (US) Committee on Substance Abuse Prevention Research. Preventing Drug Abuse: What do we know? Gerstein DR, Green LW, editors. Washington (DC): National Academies Press (US); 1993. PMID: 25121319. Kumpfer KL.; Olds DL, Alexander JF, Zucker RA, Gary LE. Family etiology of youth problems. In: Ashery RS, Robertson EB, Kumpfer KL, editors. Drug abuse prevention through family interventions. NIDA Research Monograph No. 177. Washington, DC: US Government Printing Office. 1998;42-77. Ialongo NS, Werthamer L, Kellam SG, Brown CH, Wang S, Lin Y. Proximal impact of two first-grade preventive interventions on the early risk behaviors for later substance abuse, depression, and antisocial behavior. Am J Community Psychol. 1999 Oct;27(5):599-641. doi: 10.1023/A:1022137920532. PMID: 10676542. Oetting E, Edwards R, Kelly K, Beauvais F. Risk and protective factors for drug use among rural American youth. In: Robertson EB, Sloboda Z, Boyd GM, Beatty L, Kozel NJ, editors. Rural Substance Abuse: State of Knowledge and Issues. NIDA Research Monograph No. 168. Washington, DC: US Government Printing Office. 1997;90-130. Moon DG, Hecht ML, Jackson KM, Spellers RE. Ethnic and gender differences and similarities in adolescent drug use and refusals of drug offers. Subst Use Misuse. 1999 Jun;34(8):1059-83. doi: 10.3109/10826089909039397. PMID: 10359222. Johnston LD, O'Malley PM, Bachman JG. Monitoring the future national survey results on drug use. 1975–2002. Volume 1: Secondary School Students. Bethesda, MD: National Institute on Drug Abuse, 2002. https://tinyurl.com/c62exujw Hawkins JD, Catalano RF, Arthur MW. Promoting science-based prevention in communities. Addict Behav. 2002 Nov-Dec;27(6):951-76. doi: 10.1016/s0306-4603(02)00298-8. PMID: 12369478. Oetting E, Edwards R, Kelly K, Beauvais F. Risk and protective factors for drug use among rural American youth. In: Robertson EB, Sloboda Z, Boyd GM, Beatty L, Kozel NJ, editors. Rural Substance Abuse: State of Knowledge and Issues. NIDA Research Monograph No. 168. Washington, DC: US Government Printing Office; 1997;90-130. Kosterman R, Hawkins JD, Spoth R, Haggerty KP, Zhu K. Effects of a preventive parent-training intervention on observed family interactions: Proximal outcomes from preparing for the drug free years. Journal of Community Psychology. 1997;25(4):337-352. Ashery RS, Robertson EB, Kumpfer KL, editors. Drug abuse prevention through family interventions. NIDA research monograph No. 177. Washington, DC: U.S Government Printing Office. 1998. Kosterman R, Hawkins JD, Haggerty KP, Spoth R, Redmond C. Preparing for the drug free years: session-specific effects of a universal parent-training intervention with rural families. J Drug Educ. 2001;31(1):47-68. doi: 10.2190/3KP9-V42V-V38L-6G0Y. PMID: 11338965. Bauman KE, Foshee VA, Ennett ST, Pemberton M, Hicks KA, King TS, Koch GG. The influence of a family program on adolescent tobacco and alcohol use. Am J Public Health. 2001 Apr;91(4):604-10. doi: 10.2105/ajph.91.4.604. PMID: 11291373; PMCID: PMC1446646. Spoth RL, Redmond C, Trudeau L, Shin C. Longitudinal substance initiation outcomes for a universal preventive intervention combining family and school programs. Psychol Addict Behav. 2002 Jun;16(2):129-34. PMID: 12079251. Botvin GJ, Baker E, Dusenbury L, Botvin EM, Diaz T. Long-term follow-up results of a randomized drug abuse prevention trial in a white middle-class population. JAMA. 1995 Apr 12;273(14):1106-12. PMID: 7707598. Scheier LM, Botvin GJ, Diaz T, Griffin KW. Social skills, competence, and drug refusal efficacy as predictors of adolescent alcohol use. J Drug Educ. 1999;29(3):251-78. doi: 10.2190/M3CT-WWJM-5JAQ-WP15. PMID: 10645126.

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