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Non local reaction-diffusion equations modelling predator-prey coevolution.

Angel CalsinaCarles PerellóJoan Saldaña — 1994

Publicacions Matemàtiques

In this paper we examine a predator-prey system with a characteristic of the predator subject to mutation. The ultimate equilibrium of the system is found by Maynard-Smith et al. by the so-called ESS (Evolutionary Stable Strategy). Using a system of reaction-diffusion equations with non local terms, we conclude that ESS result for the diffusion coefficient tending to zero, without resorting to any optimization criterion.

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