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

• Autores: Ángel Calsina Ballesta, Carles Perelló i Valls, Joan Saldaña Meca
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 2, 1994, págs. 315-325
• Idioma: inglés
• Títulos paralelos:
  • Ecuaciones de reacción-difusión no local para modelo de la coevolución predador-presa
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• Resumen

  • 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.