Modeling the impact of awareness programs on the transmission dynamics of dengue and optimal control
作者机构：Jiangsu Key Laboratory for NSLSCS School of Mathematical Sciences Nanjing Normal UniversityNanjing210023P.R.China Department of Mathematics Purdue UniversityWest LafayetteIN 47906USA
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2023年第16卷第2期
页 面：31-57页
核心收录：
学科分类：0710[理学-生物学] 07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：the National Natural Science Foundation of China(Nos.11971240,61973166 and 12001282) the Natural Science Foundation for Young Scholars of Jiangsu Province(No.SBK2020041626) the Natural Science Research Foundation of Jiangsu Higher Education Institutions(No.20KJB110024)
主 题：Dengue awareness programs Hopf bifurcation uniform persistence optimal control
摘 要：In this work,we first propose a mathematical model to study the impact of awareness programs on dengue *** basic reproduction number Ro is *** existence and stability of equilibria are *** uniform persistence is established when Ro is larger than *** results suggest that awareness programs have significant impacts on dengue transmission dynamics although they cannot affect *** o is less than one,awareness programs can shorten the prevailing time *** Ro is larger than one,awareness programs may destabilize the unique interior equilibrium and a stable periodic solution appears due to Hopf *** particular,we find that the occurrence of Hopf bifurcation depends not only on the intensity of awareness programs but also on the level of ***,large fuctuations in the number of infected individuals caused by the stable periodic solution may bring pressure on limited medical ***,different from intuitive ideas,blindly increasing the intensity of awareness programs is not necessarily conducive to control the transmission of *** decision-making department should decide to adopt different publicity strategies according to the current level of ***,we consider the optimal control problem of the model and find the optimal control strategy corresponding to awareness programs by Pontryagin s Maximum *** results manifest that the optimal control strategy can effectively mitigate the transmission of dengue.
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