Permanence and extinction of stochastic regime-switching mutualism model

摘要

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 regimc-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 systerm without switching,the advantages of the stochastic regime-switching mutualism model are given.