The asymptotic stability of numerical analysis for stochastic age-dependent cooperative Lotka-Volterra system.
Math Biosci Eng
; 18(2): 1425-1449, 2021 01 22.
Article
em En
| MEDLINE
| ID: mdl-33757192
ABSTRACT
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.
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Base de dados:
MEDLINE
Idioma:
En
Revista:
Math Biosci Eng
Ano de publicação:
2021
Tipo de documento:
Article
País de afiliação:
China