Permanence and extinction of stochastic regime-switching mutualism model-Reference-Cited by-同舟云学术

Permanence and extinction of stochastic regime-switching mutualism model

Published:2020-04-28 Issue:04 Volume:13 Page:2050028
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Lv Guangying¹^ORCID,Zhang Beibei²

Affiliation:

1. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

2. School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475001, P. R. China

Abstract

This paper is concerned with the permanence and extinction of a stochastic regime-switching mutualism model. We aim to find the difference between the stochastic mutualism model with regime-switching and without regime-switching. By studying ergodicity of regime-switching diffusion processes, we establish the sufficient conditions to estimate the permanence and extinction of a species in a random switching environment. Moreover, compared with the system without switching, the advantages of the stochastic regime-switching mutualism model are given.

Funder

National Natural Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179352452050028X

Reference26 articles.

1. Permanence and Extinction of Regime-Switching Predator-Prey Models

2. The Ecology of Mutualism

3. From Markov Chains to Non-Equilibrium Particle Systems

4. Dynamics of a stochastic Lotka–Volterra model perturbed by white noise

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