Revistes Catalanes amb Accés Obert (RACO)

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

Àngel Calsina i Ballesta, Carles Perelló, J. Saldaña


In this paper we examine a prey-predator 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 the ESS result for the diffusion coefficient tending to zero, without resorting to any optimization criterion.

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