The threshold of a stochastic SIS epidemic model with vaccination

The threshold of a stochastic SIS epidemic model with vaccination
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疫苗接种随机 SIS 流行病模型的阈值

DOI:
10.1016/j.amc.2014.05.124
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发表时间:
2014-09-15
影响因子:
4
通讯作者:
Jiang, Daqing
Jiang, Daqing
中科院分区:
数学2区
文献类型:
--
作者:
Zhao, Yanan;Jiang, Daqing

文献摘要

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研究了一类带接种疫苗的随机SIS传染病模型的长时间行为。得到了平均灭绝和平均持续生存的充分条件。我们找到了一个阈值的随机模型,它决定了疾病的结果的情况下,白色噪声是小的。最后,通过数值模拟验证了本文的结论. (C)2014 Elsevier Inc. All rights reserved.
This paper is concerned with the long time behavior of a stochastic SIS epidemic model with vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We find a threshold of the stochastic model which determines the outcome of the disease in case the white noises are small. At last, some numerical simulations are carried out to support our results. (C) 2014 Elsevier Inc. All rights reserved.