西安工程大学学报2016，Vol.30Issue(6)：882-888,7.DOI:10.13338/j.issn.1674-649x.2016.06.028
一类具有非线性传染率的SVEIR模型的定性分析
Global analysis of a SVEIR epidemic model with nonlinear incidence rate
摘要
Abstract
The global stability of a SVEIR epidemic model with nonlinear incidence rate is studied,and the threshold parameter R0 is obtained.The existence of equilibrium point is discussed by using char-acteristic line method.By means of Lasalle invariance principle and constructing appropriate Lyapunov function,it is proved that if R0<1 ,the disease free equilibrium is global asymptotically stable,and if R0>1 ,the endemic equilibrium is global asymptotically stable.关键词
传染病模型/非线性发生率/基本再生数/全局稳定性Key words
epidemic model/nonlinear incidence rate/basic reproduction number/global stability分类
数理科学引用本文复制引用
吴梦媛,孙法国,陈瑶..一类具有非线性传染率的SVEIR模型的定性分析[J].西安工程大学学报,2016,30(6):882-888,7.基金项目
陕西省教育厅自然科学专项基金资助项目(2013JM1002) （2013JM1002）
