集美大学学报（自然科学版）2019，Vol.24Issue(1)：64-67,4.DOI:10.19715/j.jmuzr.2019.01.10
一类具有媒体报道的传染病模型
A Class of Epidemic Model with Media Coverage
摘要
Abstract
In this paper, the media coverage M is considered as a function of time t. Using discontinuous function β/ (1 + εMI) to describe the influence of media coverage on the infection rate, a piecewise-smooth SIM epidemic model is established. The existence of the nonnegative equilibrium of the model is given. The local stability of the equilibrium of the system is obtained by using the linear stability theory of differential equations. A sufficient condition for global asymptotic stability of positive equilibrium is given by using the Poincare-Bendixon theorem.关键词
媒体报道/传染病模型/局部稳定性/全局稳定性Key words
media coverage/epidemic model/local stability/global stability分类
数理科学引用本文复制引用
陈娟,戴斌祥,李文秀..一类具有媒体报道的传染病模型[J].集美大学学报（自然科学版）,2019,24(1):64-67,4.基金项目
国家自然科学基金项目 (51479215, 11271371) （51479215, 11271371）
