Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion

A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. Given any general perturbation near an unstable constant equilibrium, we prove that its nonlinear evolution is dominated by the...

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Bibliographic Details
Main Authors: Lina Zhang, Shengmao Fu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/854862