基于最优控制理论的饱和寨卡病毒模型分析

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-09-01 DOI:10.1504/ijdsde.2021.10040331

N. Goswami

{"title":"基于最优控制理论的饱和寨卡病毒模型分析","authors":"N. Goswami","doi":"10.1504/ijdsde.2021.10040331","DOIUrl":null,"url":null,"abstract":"A non-linear mathematical model of the Zika virus is proposed and analysed the impact of optimal control strategies with the saturated incident. The basic reproduction number (R0) is computed and performed sensitivity analysis to identify the key parameters that influence the basic reproduction number. To investigate the optimal control strategies, three types of time-dependent control parameters are introduced in the system to reduce the transmission. Electronic devices, insecticide-treated bed nets, and mosquito repulsive lotions are used to reduce mosquito biting rates. Keeping this fact, found some suitable optimal control strategies to eradicate the transmission of the disease in the tropical area. Pontryagin's maximum principle is used to manifest the optimal control strategies. It is noticed that the optimal control model gives a better result than the model without optimal control. Finally, the results of the optimal controls are compared by using numerical simulation.","PeriodicalId":43101,"journal":{"name":"International Journal of Dynamical Systems and Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modelling analysis of Zika virus with saturated incidence using optimal control theory\",\"authors\":\"N. Goswami\",\"doi\":\"10.1504/ijdsde.2021.10040331\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A non-linear mathematical model of the Zika virus is proposed and analysed the impact of optimal control strategies with the saturated incident. The basic reproduction number (R0) is computed and performed sensitivity analysis to identify the key parameters that influence the basic reproduction number. To investigate the optimal control strategies, three types of time-dependent control parameters are introduced in the system to reduce the transmission. Electronic devices, insecticide-treated bed nets, and mosquito repulsive lotions are used to reduce mosquito biting rates. Keeping this fact, found some suitable optimal control strategies to eradicate the transmission of the disease in the tropical area. Pontryagin's maximum principle is used to manifest the optimal control strategies. It is noticed that the optimal control model gives a better result than the model without optimal control. Finally, the results of the optimal controls are compared by using numerical simulation.\",\"PeriodicalId\":43101,\"journal\":{\"name\":\"International Journal of Dynamical Systems and Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2021-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Dynamical Systems and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijdsde.2021.10040331\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Dynamical Systems and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijdsde.2021.10040331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

提出了寨卡病毒的非线性数学模型，并分析了最优控制策略对饱和事件的影响。计算基本再现数(R0)并进行敏感性分析，确定影响基本再现数的关键参数。为了研究最优控制策略，在系统中引入了三种类型的时变控制参数以减小传输。使用电子设备、驱虫蚊帐和驱蚊乳液来降低蚊子叮咬率。根据这一事实，找到了一些适合的最优控制策略，以根除该疾病在热带地区的传播。用庞特里亚金极大值原理来表示最优控制策略。结果表明，最优控制模型比无最优控制模型具有更好的控制效果。最后，通过数值仿真对最优控制的结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Modelling analysis of Zika virus with saturated incidence using optimal control theory

A non-linear mathematical model of the Zika virus is proposed and analysed the impact of optimal control strategies with the saturated incident. The basic reproduction number (R0) is computed and performed sensitivity analysis to identify the key parameters that influence the basic reproduction number. To investigate the optimal control strategies, three types of time-dependent control parameters are introduced in the system to reduce the transmission. Electronic devices, insecticide-treated bed nets, and mosquito repulsive lotions are used to reduce mosquito biting rates. Keeping this fact, found some suitable optimal control strategies to eradicate the transmission of the disease in the tropical area. Pontryagin's maximum principle is used to manifest the optimal control strategies. It is noticed that the optimal control model gives a better result than the model without optimal control. Finally, the results of the optimal controls are compared by using numerical simulation.

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

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.