Affiliation:
1. School of Mathematics and Statistics, Yulin University, Yulin 719000, China
Abstract
This paper discusses the asymptotic behavior of a class of three-species stochastic model with regime switching. Using the Lyapunov function, we first obtain sufficient conditions for extinction and average time persistence. Then, we prove sufficient conditions for the existence of stationary distributions of populations, and they are ergodic. Numerical simulations are carried out to support our theoretical results.
Funder
Yulin University Doctoral Research Foundation
Subject
General Engineering,General Mathematics
Cited by
7 articles.
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