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Dynamics of stochastic predator-prey systems with continuous time delay

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  • Zhang, Qiumei
  • Jiang, Daqing

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.

Suggested Citation

  • Zhang, Qiumei & Jiang, Daqing, 2021. "Dynamics of stochastic predator-prey systems with continuous time delay," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007852
    DOI: 10.1016/j.chaos.2021.111431
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    References listed on IDEAS

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