具有饱和发病率随机SIQS传染病模型的稳定性  

The stability of stochastic SIQS epidemic model with saturated incidences

作　　者：林青腾 魏凤英[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350116

出　　处：《山东大学学报（理学版）》2016年第1期128-134,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11201075);福建省自然科学基金资助项目(2010J01005)

摘　　要：研究了一类随机SIQ传染病模型,通过定义停时及利用伊藤公式,得到系统全局正解的存在唯一性。利用构造合适的Lyapunov函数,证明了在一定的条件下系统的解指数稳定及遍历性。数值模拟验证了我们所得的主要结果。A kind of stochastic SIQ epidemic model with saturated incidences is investigated. By using of the stop time and Ito formula,the existence-and-uniqueness of global positive solution for the model is obtained. By constructing suitable Lyapunov function,the exponential stability and ergodicity of the solution are derived under some moderate conditions. And numerical simulations are carried out to illustrate our results.

关 键 词：平衡点 稳定性 传染病模型 ITO公式 

分 类 号：O211[理学—概率论与数理统计]