具有泊松跳变的随机年龄结构合作Lotka-Volterra系统的渐近稳定性

IF 1 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-01-01 DOI:10.58997/ejde.2023.02

Mengqing Zhang, Jing Tian, Keyue Zou

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引用次数: 0

摘要

本文研究了具有泊松跳变的随机年龄结构合作Lotka-Volterra系统。利用m矩阵理论，证明了该系统整体解的存在唯一性。然后用优化的Euler-Maruyama数值格式逼近解。得到了数值解的二阶矩有界性和收敛速率。数值解说明了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps

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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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.