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Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System

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  • Zheng Wu
  • Hao Huang
  • Lianglong Wang

Abstract

This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are established such as the stochastically ultimate boundedness and stochastic permanence for this model.

Suggested Citation

  • Zheng Wu & Hao Huang & Lianglong Wang, 2012. "Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, May.
    • Handle: RePEc:hin:jnljam:857134
    DOI: 10.1155/2012/857134
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    Cited by:

    1. Wen Liu & Jianfeng Feng, 2021. "Analysis of Asymptotic and Transient Behaviors of Stochastic Ratio-Dependent Predator–Prey Model," Mathematics, MDPI, vol. 9(21), pages 1-13, November.
    2. Guirong Liu & Rong Liu, 2019. "Dynamics of a Stochastic Three-Species Food Web Model with Omnivory and Ratio-Dependent Functional Response," Complexity, Hindawi, vol. 2019, pages 1-19, November.

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