Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps
DOI:
https://doi.org/10.58997/ejde.2023.02Abstract
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.
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