Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps

[摘要] In this article, we study a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps. Applying the M-matrix theory, we prove the existence and uniqueness of a global solution for the system. Then we use an optimized Euler-Maruyama numerical scheme to approximate the solution. We obtain second-moment boundedness and convergence rate of the numerical solutions. The numerical solutions illustrate the theoretical results.

[学科分类] 数学（综合）

[关键词] Cooperative Lotka-Volterra system;age-structured;rate of convergence;Poisson jumps;Euler-Maruyama scheme