Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations

Considering the impacts of time delays and different kinds of stochastic perturbations, we propose two three-species delayed cooperative systems with stochastic perturbations in this paper. We establish the sufficient criteria of the asymptotical stability and stability in probability by constructin...

Full description

Saved in:
Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2021; pp. 1 - 15
Main Authors Zhao, Jinxing, Shao, Yuanfu
Format Journal Article
LanguageEnglish
Published New York Hindawi 17.03.2021
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Differential equations
Equilibrium
Numerical analysis
Perturbation
Stability
System dynamics
Online AccessGet full text

Cover

More Information
Summary:Considering the impacts of time delays and different kinds of stochastic perturbations, we propose two three-species delayed cooperative systems with stochastic perturbations in this paper. We establish the sufficient criteria of the asymptotical stability and stability in probability by constructing a neutral stochastic differential equation and some suitable functionals. The impacts of time delays and stochastic perturbations to the system dynamics are revealed by some numerical simulations at the end.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1026-0226
1607-887X
DOI:10.1155/2021/5577499