Dynamics of stochastic predator-prey systems with continuous time delay

Qiumei Zhang and Daqing Jiang

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: The present paper deals with the problem of a stochastic predator-prey model with continuous time delay. In the case that the integral kernel is the function ae−at, the persistence in the mean and extinction of this solution are derived by making use of Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

Keywords: Stochastic predator-prey systems; Continuous time delay; Persistence in the mean; Extinction (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007852

DOI: 10.1016/j.chaos.2021.111431

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