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.
基金
The work was supported in part by NSFC of China Grants 11771123
Science and Technology Research Key Projects of the Education Department of Henan Province 2015GGJS-024
the Project Funded by Cliina Postdoctoral Science Foundation Nos.2016M600427 and 2017T100385
Postdoctoral Science Foundation of Jiangsu Province(Grant No.1601141B).
