Revistes Catalanes amb Accés Obert (RACO)

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

Àngel Calsina i Ballesta, Carles Perelló, J. Saldaña

Resum


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.

Text complet: PDF