Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 02, pp. 1-18.

Title: Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps
       
Authors: Mengqing Zhang (North Minzu Univ., Yinchuan, China)
         Jing Tian (Towson Univ., Towson, MD, USA)
         Keyue Zou (Southwestern Univ. of Finance and Economics, Chengdu, China)
         
Abstract: 
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.

Submitted September 10, 2022. Published January 06, 2023.
Math Subject Classifications: 35Q30, 35B41, 76D05.
Key Words: Cooperative Lotka-Volterra system; age-structured; 
           rate of convergence; Poisson jumps; Euler-Maruyama scheme.