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一类具有媒体效应的传染病模型的全局动力学

魏雪 王晓 罗颜涛

应用数学2024,Vol.37Issue(4):1173-1179,7.
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

魏雪 1王晓 1罗颜涛1

作者信息

  • 1. 国防科技大学理学院,湖南 长沙 410073
  • 折叠

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)

应用数学

OA北大核心CSTPCD

1001-9847

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