Impact of Optimal Intervention Strategies on Psychoactive Substance Abuse Dynamics With Addicted Immigrants: A Mathematical Study

IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Complexity Pub Date : 2025-05-23 DOI:10.1155/cplx/5581960
Samson Olaniyi, Sulaimon F. Abimbade, Jamiu A. Ademosu, Richard C. Ogbonna, Ramoshweu S. Lebelo, Kazeem O. Okosun
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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.

最优干预策略对成瘾移民精神活性物质滥用动态的影响:一个数学研究
本文通过有效性和经济性分析,研究了非线性常微分方程控制的精神活性物质滥用模型的人口动态。该研究考虑了三种时变干预策略,如筛选成瘾移民,倡导反对药物滥用和康复治疗,以控制药物滥用在人群中的传播。通过使用归一化前向灵敏度指数进行敏感性分析,对控制干预所针对的大多数敏感参数进行了检查。利用最优控制理论定性分析了最优控制的存在性,并利用庞特里亚金极大值原理对控制三重体进行了表征。为了进一步评估干预策略的影响,我们考虑了结合任意两种干预策略的三种不同政策,即政策A(结合筛查成瘾移民和倡导反对药物滥用)、政策B(结合筛查成瘾移民和康复治疗)和政策C(结合倡导反对药物滥用和康复治疗)。对每一项政策进行了广泛的有效性和经济分析,发现B政策是最有效的干预措施,而C政策是最具成本效益的干预措施。因此,建议在资源有限的情况下采取避免最多数量精神活性药物滥用案件的政策。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Complexity
Complexity 综合性期刊-数学跨学科应用
CiteScore
5.80
自引率
4.30%
发文量
595
审稿时长
>12 weeks
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.
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