文章基本信息

标题：Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
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作者：Kangbo Bao ; Qimin Zhang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：352
DOI：10.1186/s13662-017-1406-9
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a new SIRS epidemic model which considers the influence of information intervention and environmental noise is studied. The study shows that information intervention and white noise have great effects on the disease. First, we show that there is global existence and positivity of the solution. Then, we prove that the stochastic basic production R s $\mathscr{R}_{s}$ is a threshold which determines the extinction or persistence of the disease. When the intensity of noise is large, we obtain R s 1 $\mathscr{R}_{s}>1$ and a sufficient condition for the existence of stationary distribution is obtained, which means the disease is prevalent. Finally, the main results are illustrated by numerical simulations.
关键词：SIRS epidemic model ; information intervention ; environmental noise ; stationary distribution ; extinction