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Dynamics of a General Stochastic Nonautonomous Lotka‐Volterra Model with Delays and Impulsive Perturbations

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  • Qing Wang
  • Yongguang Yu
  • Shuo Zhang

Abstract

A stochastic nonautonomous N‐species Lotka‐Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.

Suggested Citation

  • Qing Wang & Yongguang Yu & Shuo Zhang, 2015. "Dynamics of a General Stochastic Nonautonomous Lotka‐Volterra Model with Delays and Impulsive Perturbations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:824507
    DOI: 10.1155/2015/824507
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