一类具有媒体效应的传染病模型的全局动力学  

Global Dynamics of a Class of Infectious Disease Models with Media Effects

作　　者：魏雪 王晓[1] 罗颜涛 WEI Xue;WANG Xiao;LUO Yantao(College of Sciences,National University of Defense Technology,Changsha 410073,China)

机构地区：[1]国防科技大学理学院,湖南长沙410073

出　　处：《应用数学》2024年第4期1173-1179,共7页Mathematica Applicata

基　　金：湖南省自然科学基金(2022JJ30655)。

摘　　要：本文讨论一类受媒体效应影响的具有一般发生率的传染病模型,其发生率函数突破了Korobeinikov等人(2005)的文中对全局凹性的要求,通过构造V函数并结合常微分方程定性理论得到了模型无病平衡点和地方病平衡点的全局渐近稳定性.最后,针对媒体影响给出两个具体例子验证所得理论结果.This paper discusses a type of infectious disease models with general incidence by media effects and the incidence function breaks through the requirement of global concave in the paper of Korobeinikov et al.(2005).The global asymptotic stability of the disease-free equilibrium and endemic equilibrium points of the model is obtained by constructing the V function and combining the qualitative theory of ordinary differential equations.Finally,two concrete examples are given to verify the theoretical results.

关 键 词：全局凹性 V函数 全局渐近稳定性 媒体报道 

分 类 号：O175[理学—数学]