The Complex Dynamics of a Stochastic Predator-Prey Model

A modified stochastic ratio-dependent Leslie-Gower predator-prey model is formulated and analyzed. For the deterministic model, we focus on the existence of equilibria, local, and global stability; for the stochastic model, by applying Itô formula and constructing Lyapunov functions, some qualitativ...

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Bibliographic Details
Main Authors: Xixi Wang, Huilin Huang, Yongli Cai, Weiming Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/401031
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