具有饱和发生率的随机SEIRS传染病模型的遍历性与灭绝性（英文）  

The Ergodicity and Extinction of Stochastically Perturbed SEIRS Epidemic Models with Saturated Incidence

作　　者：热木孜亚.热布哈提 张学良[1] 滕志东[2] Ramziya Rifhat ZHANG Xueliang TENG Zhidong(Department of Medical Engineering and Technology, Xinjiang Medical University, Urumqi Xinjiang 830011, China College of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830046, China)

机构地区：[1]新疆医科大学医学工程技术学院,新疆乌鲁木齐830011 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2017年第2期146-151,共6页Journal of Xinjiang University(Natural Science Edition)

基　　金：supported by the(XJC2013234)

摘　　要：文章研究了一类具有总人口数变化的且具有饱和发生率的随机SEIRS传染病模型,并且得到了该模型的灭绝性和存在独立的平稳分布的充分条件.The present paper studies a stochastic SEIRS epidemic model with saturated incidence rate in a population of varying size.Sufficient conditions for the extinction and the existence of a unique stationary distribution are obtained.

关 键 词：SEIRS传染病模型 LYAPUNOV函数 随机扰动 随机稳定性 

分 类 号：O175.14[理学—数学]