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

Jinxing Zhao, Yuanfu Shao and Viktor Avrutin

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-15

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5577499

DOI: 10.1155/2021/5577499

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