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

Zheng Wu, Hao Huang and Lianglong Wang

Journal of Applied Mathematics, 2012, vol. 2012, 1-17

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:857134

DOI: 10.1155/2012/857134

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