Ressource pédagogique : Hiroshi Matano : Spreading speed for some two-component reaction-diffusion system

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Premier atelier de l'ERC « Reaction-Diffusion Equations, Propagations and Modelling » Journées d'étude organisées par Henri Berestycki et Jean-Michel Roquejoffre  EHESS, 24-25 septembre 2013 Séquence 1: Hiroshi Matano (University of Tokyo) Spreading speed for some two-component reaction-diffusion system In this talk I will discuss the spreading properties of solutions of a prey-predator type reaction-diffusion system. This system belongs to the class of reaction-diffusion systems for which the comparison principle does not hold. For such class of systems, little has been know about the spreading properties of the solutions.  Here, by a spreading property, we mean the way the solution propagates when starting from compactly supported initial data. We show that propagation of both the prey and the predator occur with a definite spreading speed. Furthermore, quite intriguingly, the spreading speed of the prey and that of the predator are different in some

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• Mathématiques (510)
• Analyse (515)

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