尼日利亚药物滥用控制模式分析

Isaac Oritsejubemi Akpienbi, Jude Iroka
{"title":"尼日利亚药物滥用控制模式分析","authors":"Isaac Oritsejubemi Akpienbi, Jude Iroka","doi":"10.58578/ajstea.v2i4.3418","DOIUrl":null,"url":null,"abstract":"In this research, mathematical modelling of treatment control of substance abuse in Nigeria was carried out. We present a deterministic model for the of control treatment of substance abuse in which impatient and outpatient were both important for the disease control. We calculated the basic reproduction number using next generation matrix method and The analytical results reveal that the substance abuse model is mathematically well-posed and defined within the positive region of the parameter space, Λ. The existence of equilibrium states is established, with both the substance abuse-free equilibrium (SAFE) and the substance abuse-endemic equilibrium (SAEE) found to be locally and asymptotically stable under certain conditions, and unstable otherwise. Furthermore, the global stability analysis of the SAEE indicates that it is asymptotically stable. The study also deduces that the control methods employed can effectively reduce the progression rate of substance abuse. Importantly, the analysis highlights that individual involvement and commitment will play a vital role in the successful control of the substance abuse menace in Nigeria. This study provides valuable insights into the mathematical modelling and analysis of substance abuse dynamics, which can inform the development of effective intervention strategies and policies to address this critical public health challenge in the Nigerian.","PeriodicalId":504704,"journal":{"name":"Asian Journal of Science, Technology, Engineering, and Art","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of Substance Abuse Control Model in Nigeria\",\"authors\":\"Isaac Oritsejubemi Akpienbi, Jude Iroka\",\"doi\":\"10.58578/ajstea.v2i4.3418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research, mathematical modelling of treatment control of substance abuse in Nigeria was carried out. We present a deterministic model for the of control treatment of substance abuse in which impatient and outpatient were both important for the disease control. We calculated the basic reproduction number using next generation matrix method and The analytical results reveal that the substance abuse model is mathematically well-posed and defined within the positive region of the parameter space, Λ. The existence of equilibrium states is established, with both the substance abuse-free equilibrium (SAFE) and the substance abuse-endemic equilibrium (SAEE) found to be locally and asymptotically stable under certain conditions, and unstable otherwise. Furthermore, the global stability analysis of the SAEE indicates that it is asymptotically stable. The study also deduces that the control methods employed can effectively reduce the progression rate of substance abuse. Importantly, the analysis highlights that individual involvement and commitment will play a vital role in the successful control of the substance abuse menace in Nigeria. This study provides valuable insights into the mathematical modelling and analysis of substance abuse dynamics, which can inform the development of effective intervention strategies and policies to address this critical public health challenge in the Nigerian.\",\"PeriodicalId\":504704,\"journal\":{\"name\":\"Asian Journal of Science, Technology, Engineering, and Art\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Science, Technology, Engineering, and Art\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.58578/ajstea.v2i4.3418\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Science, Technology, Engineering, and Art","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.58578/ajstea.v2i4.3418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本研究对尼日利亚药物滥用的治疗控制进行了数学建模。我们提出了一个药物滥用控制治疗的确定性模型,其中急诊和门诊对疾病控制都很重要。我们使用下一代矩阵法计算了基本繁殖数,分析结果表明,药物滥用模型在数学上是合理的,并且定义在参数空间Λ的正区域内。建立了平衡状态,发现无药物滥用平衡(SAFE)和药物滥用流行平衡(SAEE)在某些条件下是局部和渐近稳定的,反之则不稳定。此外,对 SAEE 的全局稳定性分析表明,它是渐近稳定的。研究还推断出,所采用的控制方法可以有效降低药物滥用的进展率。重要的是,分析强调,个人的参与和承诺将在成功控制尼日利亚药物滥用威胁方面发挥至关重要的作用。这项研究为药物滥用动态的数学建模和分析提供了宝贵的见解,可以为制定有效的干预战略和政策提供信息,以应对尼日利亚这一严峻的公共卫生挑战。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of Substance Abuse Control Model in Nigeria
In this research, mathematical modelling of treatment control of substance abuse in Nigeria was carried out. We present a deterministic model for the of control treatment of substance abuse in which impatient and outpatient were both important for the disease control. We calculated the basic reproduction number using next generation matrix method and The analytical results reveal that the substance abuse model is mathematically well-posed and defined within the positive region of the parameter space, Λ. The existence of equilibrium states is established, with both the substance abuse-free equilibrium (SAFE) and the substance abuse-endemic equilibrium (SAEE) found to be locally and asymptotically stable under certain conditions, and unstable otherwise. Furthermore, the global stability analysis of the SAEE indicates that it is asymptotically stable. The study also deduces that the control methods employed can effectively reduce the progression rate of substance abuse. Importantly, the analysis highlights that individual involvement and commitment will play a vital role in the successful control of the substance abuse menace in Nigeria. This study provides valuable insights into the mathematical modelling and analysis of substance abuse dynamics, which can inform the development of effective intervention strategies and policies to address this critical public health challenge in the Nigerian.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信