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

Electronic Journal of Differential Equations

article

Mengqing Zhang¹  Jing Tian²  Keyue Zou³ 

[1] School of Mathematics and Information Science North Minzu University Yinchuan 750021;Department of Mathematics Towson University Towson;School of Finance Southwestern University of Finance and Economics Chengdu 611130

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

DOI  :  10.58997/ejde.2023.02

学科分类：数学（综合）

来源: Texas State University

【 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.

【 授权许可】

CC BY