一类具有非线性发生率的SEIS传染病模型的全局稳定性  

Global Stability of A SEIS Epidemic Model with Nonlinear Incidence Rate

作　　者：王海彬[1] 徐瑞[1] 王兆威[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《河北师范大学学报（自然科学版）》2013年第5期443-447,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11071254)

摘　　要：研究了一类具有非线性发生率的传染病动力学模型.通过计算得到了模型的基本再生数的表达式.当基本再生数大于1时,应用第2加性复合矩阵理论给出了地方病平衡点全局渐近稳定的充分条件.In this paper,a SEIS epidemic model with nonlinear incidence rate is investigated. The explicit expression of the basic reproduction number is obtained. When the basic reproduction number is greater than one, sufficient conditions are derived for the global asymptotic stability of the endemic equilibrium by using the second additive compound matrix theory.

关 键 词：传染病模型 地方病平衡点 全局渐近稳定性 

分 类 号：O175.13[理学—数学]