Modeling and analysis of the transmission dynamics of mosquito-borne disease with environmental temperature fluctuation
作者机构：School of Mathematics and Allied SciencesJiwaji University Gwalior 474011M.P.India Department of Applied Sciences ABV-Indian Institute of Information Technology and Management Gwalior 474015M.P.India
出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)
年 卷 期：2022年第13卷第3期
页 面：31-73页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Mosquito-borne disease seasonality temperature-dependent reproduction number periodic steady states
摘 要：Most of the vector-borne diseases show a clear dependence on seasonal variation,including climate *** this paper,we proposed a nonautonomous mathematical model consisting of a periodic system of nonlinear differential *** the proposed model,the realistic functional forms for the different temperature-dependent parameters are *** autonomous system of the proposed model is also *** nontrivial solution of the autonomous model is locally asymptotically stable if R01 and proved that endemic solution is linearly stable when R0*** nonautonomous model is shown to have a nontrivial disease-free periodic state,which is globally asymptotically stable whenever temperature-dependent reproduction number is less than *** is observed that a unique positive endemic periodic solution of the nonautonomous system exists only when a temperature-dependent reproduction number greater than unity,which makes for the persistence of the *** simulation has been carried out to support the analytical results and shows the effects of temperature variability in the life span of mosquitoes as well as the persistence of the disease.
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