Permanence and extinction of stochastic regime-switching mutualism model  

作　　者：Guangying Lv Beibei Zhang 

机构地区：[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 UniversityKaifeng,Henan 475001,P.R.China

出　　处：《International Journal of Biomathematics》2020年第4期181-199,共19页生物数学学报（英文版）

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).

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.

关 键 词：STOCHASTIC regime-switching mutualism model PERMANENCE EXTINCTION 

分 类 号：O17[理学—数学]