带双种疾病和 Beddington-DeAngelis 发生率的随机 SIS 传染病模型的静态分布。
Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence.
机构信息
School of Mathematics and Statistics Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin 130024, People's Republic of China.
出版信息
Chaos. 2017 Aug;27(8):083126. doi: 10.1063/1.4986838.
In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with double diseases and the Beddington-DeAngelis incidence is proposed and studied. Sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to the model are obtained via the Lyapunov function method. The existence of stationary distribution implies stochastic stability to some extent.
本文提出并研究了一类具有双重疾病且具有 Beddington-DeAngelis 发生率的随机 Susceptible-Infected-Susceptible（SIS）传染病模型。通过 Lyapunov 函数方法，得到了模型正解遍历平稳分布存在的充分条件。平稳分布的存在在某种程度上意味着随机稳定性。
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