Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach

dc.authorid Salahshour, Soheil/0000-0003-1390-3551
dc.authorid Andrawus, James/0000-0002-5236-0345
dc.authorscopusid 57221596565
dc.authorscopusid 59262366400
dc.authorscopusid 59262184600
dc.authorscopusid 56098502800
dc.authorscopusid 57193690600
dc.authorscopusid 23028598900
dc.authorwosid Denue, Ballah/ABA-3540-2021
dc.authorwosid Andrawus, James/LCD-5672-2024
dc.authorwosid Yusuf, Abdullahi/L-9956-2018
dc.contributor.author Andrawus, James
dc.contributor.author Muhammad, Aliyu Iliyasu
dc.contributor.author Denue, Ballah Akawu
dc.contributor.author Abdul, Habu
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Salahshour, Soheil
dc.date.accessioned 2024-09-11T07:41:02Z
dc.date.available 2024-09-11T07:41:02Z
dc.date.issued 2024
dc.department Okan University en_US
dc.department-temp [Andrawus, James; Muhammad, Aliyu Iliyasu; Yusuf, Abdullahi] Fed Univ Dutse, Dept Math, Dutse 7156, Jigawa, Nigeria; [Muhammad, Aliyu Iliyasu] Fed Univ Wukari, Dept Math & Stat, Wukari 1020, Nigeria; [Denue, Ballah Akawu] Univ Maiduguri, Dept Med, Maiduguri 1069, Nigeria; [Abdul, Habu] Yobe State Univ, Dept Med, Damaturu 1144, Yobe, Nigeria; [Yusuf, Abdullahi; Salahshour, Soheil] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye; [Yusuf, Abdullahi] Biruni Univ, Dept Comp Engn, Istanbul, Turkiye; [Salahshour, Soheil] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon en_US
dc.description Salahshour, Soheil/0000-0003-1390-3551; Andrawus, James/0000-0002-5236-0345 en_US
dc.description.abstract A drug is any substance capable of altering the functioning of a person's body and mind. In this paper, a deterministic nonlinear model was adapted to investigate the behavior of drug abuse and addiction that incorporates intervention in the form of awareness and rehabilitation. In the mathematical analysis part, the positivity and boundedness of the solution and the existence of drug equilibria have been ascertained, which shows that the model consists of two equilibria: a drug-free equilibrium and a drug endemic equilibrium point. The drug-free equilibrium was found to be both globally and locally asymptotically stable if the effective reproduction number is less than or equal to one ( R-c <= 1). Furthermore, we were able to show the existence of a unique drug endemic equilibrium whenever R-c > 1. Global asymptotic stability of a drug endemic equilibrium point has been ascertained using a nonlinear Lyapunov function of Go-Volterra type, which reveals that the drug endemic equilibrium point is globally asymptotically stable if an effective reproduction number is greater than unity and if there is an absence of a reversion rate of mended individuals (i.e., omega = 0). In addition, an optimal control problem was formulated to investigate the optimal strategy for curtailing the spread of the behavior using control variables. The control variables are massive awareness and rehabilitation intervention of both public and secret addicted individuals. The optimal control simulation shows that massive awareness control is the best to control drug addiction in a society. In sensitivity analysis section, the proportion of those who are exposed publicly shows to be a must sensitive parameter that can reduce the reproduction number, and the effective contact rate shows to be a must sensitive parameter to increase the reproduction number. Numerical simulations reveal that the awareness rate of exposed publicly and the rehabilitation rate of addicted publicly are very important parameters to control drug addiction in a society. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citationcount 0
dc.identifier.doi 10.1063/5.0203892
dc.identifier.issn 1054-1500
dc.identifier.issn 1089-7682
dc.identifier.issue 8 en_US
dc.identifier.pmid 39141788
dc.identifier.scopus 2-s2.0-85201329996
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1063/5.0203892
dc.identifier.uri https://hdl.handle.net/20.500.14517/6225
dc.identifier.volume 34 en_US
dc.identifier.wos WOS:001293737200007
dc.identifier.wosquality Q1
dc.institutionauthor Salahshour S.
dc.language.iso en
dc.publisher Aip Publishing en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 2
dc.subject [No Keyword Available] en_US
dc.title Unraveling the importance of early awareness strategy on the dynamics of drug addiction using mathematical modeling approach en_US
dc.type Article en_US
dc.wos.citedbyCount 2

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