Stability and ergodicity of a stochastic under regime switching on Gilpin-Ayala model patches  

作　　者：Adel Settati 

机构地区：[1]Laboratory of Mathematics and Applications, Department of Mathematics Faculty of Sciences and Techniques B.P. 416-Tanger Principale, Tanger, Morocco

出　　处：《International Journal of Biomathematics》2017年第6期317-332,共16页生物数学学报（英文版）

摘　　要：The purpose of this work is to investigate the asymptotic properties of a stochastic Gilpin--Ayala population system under regime switching on patches. We establish the global stability and the extinction of the trivial equilibrium state of the model. Further- more, we show the existence of the stationary distribution for our system model. The analytical results are illustrated by computer simulations.

关 键 词：Gilpin-Ayala model Markov switching species dispersal EXTINCTION ergo-dicity. 

分 类 号：O211.62[理学—概率论与数理统计] Q141[理学—数学]