Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
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具有随机扰动的 SIR 流行病模型的生存和平稳分布
DOI：
10.1016/j.amc.2014.06.100
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发表时间：
2014-10-01
影响因子：
4
通讯作者：
Yuan, Sanling
中科院分区：
文献类型：
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作者：
Zhou, Yanli;Zhang, Weiguo;Yuan, Sanling
本文研究了一类SIR传染病模型的动力学性质。首先，我们证明了系统从正初值开始存在唯一的正整体解。然后，当R-0和GT；1时，我们证明了在一定的参数约束下，随机模型具有平稳分布。特别是，我们证明了在确定性模型预测持久性的情况下，随机效应可能会导致疾病灭绝。当R-0
In this paper, the dynamics of a SIR epidemic model is investigated. First, we show that the system admits a unique positive global solution starting from the positive initial value. Then, when R-0 > 1, we show that the stochastic model has a stationary distribution under certain parametric restrictions. In particular, we show that random effects may lead the disease to extinction in scenarios where the deterministic model predicts persistence. When R-0