Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
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具有季节性变化的随机流行病模型的非平凡周期解
DOI：
10.1016/j.aml.2015.01.021
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发表时间：
2015-07-01
影响因子：
3.7
通讯作者：
Liu, Taihui
中科院分区：
文献类型：
--
作者：
Lin, Yuguo;Jiang, Daqing;Liu, Taihui
本文考虑了具有季节变化的随机SIR流行病模型。首先，我们得到我们的模型的阈值，决定是否发生流行病。在持续生存的情况下，我们证明了存在一个非平凡的正周期解。(C)2015爱思唯尔有限公司版权所有。
In this paper, we consider a stochastic SIR epidemic model with seasonal variation. First, we obtain the threshold of our model which determines whether the epidemic occurs or not. In the case of persistence, we prove that there is a nontrivial positive periodic solution. (C) 2015 Elsevier Ltd. All rights reserved.