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Onβ-extinction and Stability of a Stochastic Lotka-Volterra System with Infinite Delay
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作者 Shu-fen ZHAO 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2024年第4期1045-1059,共15页
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 s... 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. 展开更多
关键词 almost sureβ-extinction Lotka-Volterra system infinite delay
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