Open AccessThe asymptotic stability of numerical analysis for stochastic age-dependent cooperative Lotka-Volterra system
Author(s) -
Mengqing Zhang,
Qimin Zhang,
Jing Tian,
Xining Li
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021074
Subject(s) - uniqueness , mathematics , convergence (economics) , stability (learning theory) , exponential stability , moment (physics) , numerical analysis , rate of convergence , mathematical analysis , computer science , nonlinear system , physics , classical mechanics , quantum mechanics , machine learning , economics , economic growth , computer network , channel (broadcasting)
In this study, we explore a stochastic age-dependent cooperative Lotka-Volterra (LV) system with an environmental noise. By applying the theory of M-matrix, we prove the existence and uniqueness of the global solution for the system. Since the stochastic age-dependent cooperative LV system cannot be solved explicitly, we then construct an Euler-Maruyama (EM) numerical solution to approach the exact solution of the system. The convergence rate and the pth-moment boundedness of the scheme have also been obtained. Additionally, numerical experiments have been conducted to verify our theoretical results.