具有多种传播方式的介水传染病模型的稳定性  

Stability of a waterborne epidemic model with multiple transmission pathways

作　　者：王爱丽[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《安徽大学学报（自然科学版）》2015年第2期17-23,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071193);宝鸡文理学院重点科研计划项目(ZK11129)

摘　　要：建立了一类具有直接传播和间接传播两种传播方式的介水传染病模型,讨论了感染的水资源对疾病传播行为的影响.定义了模型的基本再生数R0,给出了各类平衡点存在的条件阈值.利用二阶加法复合矩阵,分析了模型地方病平衡点的全局渐近稳定性,给出了疾病持久的条件.A waterborne epidemic model with multiple transmission pathways including direct transmission and indirect transmission was formulated to represent the impact of contaminated water on the transmission of disease .The basic reproduction number of the model was defined ,which provided a threshold value for the existence of all equilibria .The globally asymptotical stability of endemic equilibrium was analyzed by applying the second additive compound matrix .Moreover ,the conditions to the persistence of disease were given .

关 键 词：传染病模型 基本再生数 平衡点 全局稳定性 复合矩阵 

分 类 号：O175[理学—数学]