Stationary distribution of a stochastic Kawasaki disease model with Markov switching

被引：2
|
作者：
Chen, Zhewen [1 ]
Liu, Xiaohui [1 ]
Wei, Chunjin [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 116卷
关键词：
Kawasaki disease; Stochastic; Markov switching; Positive recurrence;
D O I：
10.1016/j.aml.2020.106991
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a stochastic Kawasaki disease model, which is perturbed by both white noise and color noise. The sufficient condition for the existence of a unique ergodic stationary distribution is established by using Khasminskii's theorem and constructing stochastic Lyapunov functions with regime switching. A brief summary is given at the end of this paper. (c) 2020 Elsevier Ltd. All rights reserved.
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