The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
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具有饱和发生率的随机扰动 DI SIR 流行病模型的渐近行为
DOI：
10.1016/j.automatica.2012.02.010
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发表时间：
2012-05-01
期刊：
影响因子：
6.4
通讯作者：
Jiang, Daqing
中科院分区：
文献类型：
--
作者：
Liu, Hong;Yang, Qingshan;Jiang, Daqing
本文考虑了一类具有饱和发生率和参数扰动的DI SIR传染病模型。我们根据扰动和再生数R-0研究了渐近行为。当扰动较大时，无论R-0的大小如何，各组中的感染率均呈指数衰减至零，而易感率则弱收敛至平稳分布。当扰动较小时，当R = 0 1时，我们得到了同样的指数稳定性和弱收敛性. (C)2012爱思唯尔有限公司保留所有权利。
In this paper, we consider a class of DI SIR epidemic models with saturated incidences and parameter perturbation. We investigate the asymptotic behavior according to the perturbation and the reproductive number R-0. When the perturbation is large, the infective in every group decays exponentially to zero while the susceptible converges weakly to stationary distribution regardless of the magnitude of R-0. When the perturbation is small, we get the same exponential stability and weak convergence if R-0 1. (C) 2012 Elsevier Ltd. All rights reserved.