Mengqing Zhang, Jing Tian, Keyue Zou
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 6, 2023.
Math Subject Classifications: 35Q30, 35B41, 76D05.
Key Words: Cooperative Lotka-Volterra system; age-structured;
rate of convergence; Poisson jumps; Euler-Maruyama scheme.
DOI: https://doi.org/10.58997/ejde.2023.02
Show me the PDF file (501 KB), TEX file for this article.
 |
Mengqing Zhang School of Mathematics and Information Science North Minzu University Yinchuan 750021, China email: mengqingzhang@126.com |
|---|---|
 |
Jing Tian Department of Mathematics Towson University Towson, MD 21252, USA email: jtian@towson.edu |
 |
Keyue Zou School of Finance Southwestern University of Finance and Economics Chengdu 611130, China email: zoukeyue@outlook.com |
Return to the EJDE web page