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

Jinxing Zhao | Zendy; Yuanfu Shao | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Jinxing Zhao,

Yuanfu Shao

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/5577499

Subject(s) - stability (learning theory) , stochastic differential equation , mathematics , control theory (sociology) , stochastic dynamics , stochastic process , computer science , statistical physics , physics , statistics , control (management) , machine learning , artificial intelligence

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research