Zhang, MengqingTian, JingZou, Keyue2023-05-192023-05-192023-01-06Zhang, M., Tian, J., & Zou, K. (2023). Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps. <i>Electronic Journal of Differential Equations, 2023</i>(02), pp. 1-18.1072-6691https://hdl.handle.net/10877/16837In 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalCooperative Lotka-Volterra systemAge-structuredRate of convergencePoisson jumpsEuler-Maruyama schemeArticle