Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps
Date
2023-01-06
Authors
Zhang, Mengqing
Tian, Jing
Zou, Keyue
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Cooperative Lotka-Volterra system, Age-structured, Rate of convergence, Poisson jumps, Euler-Maruyama scheme
Citation
Zhang, 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.
Rights
Attribution 4.0 International