Analysis of a mathematical model for the transmission dynamics of human melioidosis

作     者：Yibeltal Adane Terefe Semu Mitiku Kassa 

作者机构：Department of Mathematics and Applied Mathematics University of LimpopoSouth Africa Department of Mathematics and Statistical Sciences Botswana International University of Science and TechnologyBotswana 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2020年第13卷第7期

页      面：109-131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：Melioidosis bifurcation reinfection reproduction number stability sensitivity analysis 

摘      要：A deterministic model for the transmission dynamics of melioidosis disease in human population is designed and *** model is shown to exhibit the phenomenon of backward bifurcation,where a stable disease-free equilibrium co-exists with a stable endemic equilibrium when the basic reproduction number R_(0) is less than *** is further shown that the backward bifurcation dynamics is caused by the reinfection of individuals who recovered from the disease and *** existence of backward bifurcation implies that bringing down R_(0) to less than unity is not enough for disease *** the absence of backward bifurcation,the global asymptotic stability of the disease-free equilibrium is shown whenever R_(0)1,the existence of at least one locally asymptotically stable endemic equilibrium is *** analysis of the model,using the parameters relevant to the transmission dynamics of the melioidosis disease,is *** experiments are presented to support the theoretical analysis of the *** the numerical experimentations,it has been observed that screening and treating individuals in the exposed class has a significant impact on the disease dynamics.