应用数学2024,Vol.37Issue(4):1173-1179,7.
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
摘要
Abstract
This paper discusses a type of infectious disease models with general incidence by me-dia 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Key words
Global concave/V-function/Global asymptotic stability/Media coverage分类
数理科学引用本文复制引用
魏雪,王晓,罗颜涛..一类具有媒体效应的传染病模型的全局动力学[J].应用数学,2024,37(4):1173-1179,7.基金项目
湖南省自然科学基金(2022JJ30655) (2022JJ30655)