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.