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

Lina Zhang and Shengmao Fu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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 corresponding linear dynamics along a fixed finite number of the fastest growing modes.

Date: 2013
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https://doi.org/10.1155/2013/854862

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:854862

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