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.
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)。
