纺织高校基础科学学报2016，Vol.29Issue(1)：18-25,8.DOI:10.13338/j.issn.1006-8341.2016.01.004
一类具有媒体报道的 SEIRS 传染病模型的动力学分析
Dynamics of an SEIRS epidemic model with media coverage
摘要
Abstract
The dynamics of an SEIRS epidemic model with media coverage was investigated,the basic reproduction number which determines whether the disease is extinct or not was ob-tained.By the linearization and Liapunov function methods,the global stability of the disease-free equilibrium and local stability of the endemic equilibrium were discussed.The permanence of the model was established by applying the theorem of permanence.Finally,numerical simu-lations was employed to verify the theoretical results.关键词
媒体报道/全局渐近稳定性/SEIRS 传染病模型/基本再生数Key words
media coverage/global stability/SEIRS epidemic model/basic reproduction number分类
数理科学引用本文复制引用
刘俊利,贾滢..一类具有媒体报道的 SEIRS 传染病模型的动力学分析[J].纺织高校基础科学学报,2016,29(1):18-25,8.基金项目
国家自然科学基金资助项目(11101323) （11101323）
陕西省自然科学基础研究计划资助项目(2014JQ1038) （2014JQ1038）
