Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory

Abstract

A nonlinear stability analysis using a multiple-scales perturbation procedure is performed for a predator-prey model including spatial diffusion and Volterra-type distributed delays in the interspecies interaction terms. For delays modeled by the "weak" generic kernel, the slow evolution of the amplitude of the spatially nonuniform states predicted by the… (More)
DOI: 10.1137/S0036139993247252

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