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Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation

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  • Haihong Li
  • Fuzhong Cong
  • Daqing Jiang
  • Hongtu Hua

Abstract

We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its th moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.

Suggested Citation

  • Haihong Li & Fuzhong Cong & Daqing Jiang & Hongtu Hua, 2013. "Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, November.
    • Handle: RePEc:hin:jnlaaa:125089
    DOI: 10.1155/2013/125089
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