Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
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DOI：
10.1016/j.spl.2012.12.021
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发表时间：
2013-04-01
影响因子：
0.8
通讯作者：
Omani, Lahcen
中科院分区：
文献类型：
--
作者：
Lahrouz, Aadil;Omani, Lahcen
本文研究了一类具有一般传染率的变规模随机SIRS流行病模型。得到了该模型灭绝和存在唯一平稳分布的充分条件。分析结果通过计算机模拟说明。(C)2012爱思唯尔有限公司版权所有。
The present paper studies a stochastic SIRS epidemic model with general incidence rate in a population of varying size. Sufficient conditions for the extinction and the existence of a unique stationary distribution are obtained. The analytical results are illustrated by computer simulations. (C) 2012 Elsevier B.V. All rights reserved.