Asymptotic behavior of stochastic multi-group epidemic models with distributed delays
Asymptotic behavior of stochastic multi-group epidemic models with distributed delays
复制标题
具有分布式时滞的随机多组流行病模型的渐近行为
DOI：
10.1016/j.physa.2016.10.034
复制
发表时间：
2017-02-01
影响因子：
3.3
通讯作者：
Alsaedi, Ahmed
中科院分区：
文献类型：
--
作者：
Liu, Qun;Jiang, Daqing;Alsaedi, Ahmed
本文将随机性引入到具有分布时滞和一般核函数的多群流行病模型中。模型中的随机性是随机种群建模的标准技术。在扰动较小的情况下，利用随机Lyapunov函数的方法，详细分析了随机模型关于基本再现数R-0的渐近行为。当R-0 = 1时，随机模型的解在地方性平衡E*附近波动。此外，我们还建立了这些结果的充分条件。(C) 2016 Elsevier B.V.版权所有
In this paper, we introduce stochasticity into multi-group epidemic models with distributed delays and general kernel functions. The stochasticity in the model is a standard technique in stochastic population modeling. When the perturbations are small, by using the method of stochastic Lyapunov functions, we carry out a detailed analysis on the asymptotic behavior of the stochastic model regarding of the basic reproduction number R-0. If R-0 1, the solution of the stochastic model fluctuates around the endemic equilibrium E*. Moreover, we also establish sufficient conditions of these results. (C) 2016 Elsevier B.V. All rights reserved.