应用数学2018，Vol.31Issue(1)：135-140,6.
具有媒体报道影响的SIRS模型分析
Analysis of an SIRS Model with the Impact of Media Coverage
摘要
Abstract
In this paper, an SIRS epidemic model with the impact of media coverage is proposed and analyzed. The basic reproductive number ?0 and the existence of the equilibria are obtained. If?0 < ??0 < 1, the disease free equilibrium is globally asymptotically stable by constructing Lyapunov function. Furthermore, The existence of an optimal control is proven, and an explicit expression for optimal control is obtained.关键词
SIRS传染病模型/媒体报道/稳定性/最优控制Key words
SIRS epidemic model/Media coverage/Stability/Optimal control分类
数理科学引用本文复制引用
白娟,贾建文..具有媒体报道影响的SIRS模型分析[J].应用数学,2018,31(1):135-140,6.基金项目
山西省自然科学基金资助(2013011002-2) （2013011002-2）
