具有路途感染和入境检查的SIQS模型的全局稳定性  

On Global Stability of the SIQS Epidemic Model with Transport-related Infection and Entry Screening

作　　者：陈玲[1] 陈晓平[2] 

机构地区：[1]重庆大学数学与统计学院,重庆400044 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2012年第5期24-29,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：中央高校研究生创新基金(CDJXS10100028)

摘　　要：研究了具有路途感染和入境处有健康检查的SIQS传染病模型的全局渐近稳定性.通过构造Lyapunov函数,Dulac函数,证得当基本再生数小于等于1时,无病平衡点全局渐近稳定;当基本再生数大于1时,得到了地方性平衡点全局渐近稳定的充分条件.It is considered that the SIQS epidemic model with transport-related infection and entry-screening is of global asymptotic stability. By establishing Lyapunov＇s function and Dulac＇s function, some analyti- cal results are given for the SIQS model. If the basic reproduction number is below or equals to one, the disease free equilibrium is of global asymptotical stability; if the basic reproduction number is larger than unity, sufficient conditions are obtained for the global stability of the endemic equilibrium.

关 键 词：路途感染 入境检查 全局渐近稳定 周期解 

分 类 号：O175.1[理学—数学]