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

页码：235 / 243

页数：9

共 50 条

[1] Stationary distribution of stochastic NP ecological model under regime switching
Wang, Huazheng
Jiang, Daqing
Hayat, Tasawar
Alsaedi, Ahmed
Ahmad, Bashir
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 549
[2] Stationary distribution for stochastic coupled systems with regime switching and feedback control
Liu, Yan
Zhang, Di
Su, Huan
Feng, Jiqiang
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 535
[3] Stationary distribution of a stochastic cholera epidemic model with vaccination under regime switching
Zhang, Xinhong
Peng, Hao
[J]. APPLIED MATHEMATICS LETTERS, 2020, 102
[4] Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
Zhang, Xinhong
Jiang, Daqing
Alsaedi, Ahmed
Hayat, Tasawar
[J]. APPLIED MATHEMATICS LETTERS, 2016, 59 : 87 - 93
[5] The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
Zhao, Yu
Yuan, Sanling
Zhang, Tonghua
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 37 : 131 - 142
[6] Stationary distribution of a stochastic epidemic model with distributed delay under regime switching
Chen, Shengshuang
Guo, Yingxin
Zhang, Chuan
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (01) : 789 - 808
[7] Stationary distribution of a stochastic epidemic model with distributed delay under regime switching
Shengshuang Chen
Yingxin Guo
Chuan Zhang
[J]. Journal of Applied Mathematics and Computing, 2024, 70 : 789 - 808
[8] A Note on the Stationary Distribution of Stochastic SIS Epidemic Model with Vaccination Under Regime Switching
Hu, Junna
Li, Zhiming
Zeng, Ting
Teng, Zhidong
[J]. FILOMAT, 2018, 32 (13) : 4773 - 4785
[9] PERSISTENCE AND STATIONARY DISTRIBUTION OF A STOCHASTIC PREDATOR-PREY MODEL UNDER REGIME SWITCHING
Zu, Li
Jiang, Daqing
O'Regan, Donal
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (05) : 2881 - 2897
[10] Stochastic population dynamics under regime switching
Luo, Qi
Mao, Xuerong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 69 - 84

← 1 2 3 4 5 →