应用数学2018，Vol.31Issue(3)：704-713,10.
带有标准发生率和信息干预的随机SIRS传染病模型的灭绝性和平稳分布
Extinction and Stationary Distribution of a Stochastic SIRS Epidemic Model with Standard Incidence and Information
摘要
Abstract
In this paper, we consider a novel stochastic SIRS epidemic model with standard inci-dence incorporating information intervention. We first define a stopping time. Then the existence of a unique global positive solution is proved by constructing a suitable Lyapunov function to prove the stop-ping time is infinite. The stationary distribution and ergodicity of the model are showed by constructing a compact set and appropriate Lyapunov function. It is also proved that the extinction of the disease.关键词
SIRS传染病模型/信息干预/灭绝性/平稳分布/遍历性Key words
SIRS epidemic model/Information intervention/Extinction/Stationary distribution/Ergodicity分类
数理科学引用本文复制引用
赵英英,胡华..带有标准发生率和信息干预的随机SIRS传染病模型的灭绝性和平稳分布[J].应用数学,2018,31(3):704-713,10.基金项目
国家自然科学基金项目(11361044),宁夏自治区研究生教育创新计划项目(YKC201709),宁夏大学研究生创新项目(GIP2017047) （11361044）
