Stationary distribution of stochastic population systems under regime switching

被引：112
|
作者：
Settati, Adel [1 ]
Lahrouz, Aadil [2 ]
机构：
[1] Fac Sci & Tech, Dept Math, Lab Math & Applicat, Tanger, Morocco
[2] Fac Sci Dhar Mehraz, Dept Math, Lab Comp Sci & Modeling, Fes, Morocco
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷
关键词：
Lotka-Volterra model; Brownian motion; Markov chain; Stationary distribution; ASYMPTOTIC PROPERTIES; DYNAMICS;
D O I：
10.1016/j.amc.2014.07.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with n-species model of facultative mutualism in random environments. The environment variability in this study is characterized with both white noise and color noise modeled by Markovian switching. We established new sufficient conditions that ensuring that the system model is positive recurrent. We also showed the existence of a unique ergodic stationary distribution. The presented results are demonstrated by numerical simulations. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：235 / 243
页数：9
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