Onβ-extinction and Stability of a Stochastic Lotka-Volterra System with Infinite Delay  

作　　者：Shu-fen ZHAO 

机构地区：[1]School of Mathematics and Statistics,Taishan University,Taian 271000,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第4期1045-1059,共15页应用数学学报（英文版）

基　　金：supported by the Shandong Provincial Natural Science Foundation(No.ZR2021MA086);the support plan on science and technology for youth innovation of universities in Shandong province(NO.2021KJ086);Tai’an city science and technology development plan project(No.2022NS344)。

摘　　要：In this paper,a stochastic Lotka-Volterra system with infinite delay is considered.A new concept of extinction,namely,the almost sureβ-extinction is proposed and sufficient conditions for the solution to be almost sureβ-extinction are obtained.When the positive equilibrium exists and the intensities of the noises are small enough,any solution of the system is attracted by the positive equilibrium.Finally,numerical simulations are carried out to support the results.

关 键 词：almost sureβ-extinction Lotka-Volterra system infinite delay 

分 类 号：Q141[生物学—生态学] O211.6[生物学—普通生物学]