Samson Olaniyi, Sulaimon F. Abimbade, Jamiu A. Ademosu, Richard C. Ogbonna, Ramoshweu S. Lebelo, Kazeem O. Okosun
{"title":"Impact of Optimal Intervention Strategies on Psychoactive Substance Abuse Dynamics With Addicted Immigrants: A Mathematical Study","authors":"Samson Olaniyi, Sulaimon F. Abimbade, Jamiu A. Ademosu, Richard C. Ogbonna, Ramoshweu S. Lebelo, Kazeem O. Okosun","doi":"10.1155/cplx/5581960","DOIUrl":null,"url":null,"abstract":"<div>\n <p>In this work, the population dynamics of psychoactive substance abuse model governed by a system of nonlinear ordinary differential equations is studied through the efficacy and economic analyses. The study considers three time-variant intervention strategies, such as screening of addicted immigrants, advocacy against substance abuse and rehabilitation therapy for the control of substance abuse spread in the population. Most sensitive parameters to be targeted by the control interventions are examined through sensitivity analysis using the normalized forward sensitivity index. By employing optimal control theory, the existence of optimal control is qualitatively analysed and the control triple is characterized using Pontryagin’s maximum principle. To further assess the impact of the intervention strategies, three different policies combining any two of the intervention strategies, namely, Policy A (combination of screening of addicted immigrants and advocacy against substance abuse), Policy B (combination of screening of addicted immigrants and rehabilitation therapy) and Policy C (combination of advocacy against substance abuse and rehabilitation therapy), are considered. Efficacy and economic analyses are extensively conducted on each of the policies, and it is revealed that Policy B is the most efficient intervention, while Policy C is the most cost-effective intervention. As a result, the policy that averts the highest number of psychoactive substance abuse cases when limited resources are available is recommended.</p>\n </div>","PeriodicalId":50653,"journal":{"name":"Complexity","volume":"2025 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/cplx/5581960","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complexity","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1155/cplx/5581960","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the population dynamics of psychoactive substance abuse model governed by a system of nonlinear ordinary differential equations is studied through the efficacy and economic analyses. The study considers three time-variant intervention strategies, such as screening of addicted immigrants, advocacy against substance abuse and rehabilitation therapy for the control of substance abuse spread in the population. Most sensitive parameters to be targeted by the control interventions are examined through sensitivity analysis using the normalized forward sensitivity index. By employing optimal control theory, the existence of optimal control is qualitatively analysed and the control triple is characterized using Pontryagin’s maximum principle. To further assess the impact of the intervention strategies, three different policies combining any two of the intervention strategies, namely, Policy A (combination of screening of addicted immigrants and advocacy against substance abuse), Policy B (combination of screening of addicted immigrants and rehabilitation therapy) and Policy C (combination of advocacy against substance abuse and rehabilitation therapy), are considered. Efficacy and economic analyses are extensively conducted on each of the policies, and it is revealed that Policy B is the most efficient intervention, while Policy C is the most cost-effective intervention. As a result, the policy that averts the highest number of psychoactive substance abuse cases when limited resources are available is recommended.
期刊介绍:
Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.