Institut de Mathématiques de Marseille, UMR 7373


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Invasion of an empty habitat by two competitors

Mardi 6 novembre 2018 11:00-12:00 - Léo GIRARDIN - LMO, Université Paris Sud

Invasion of an empty habitat by two competitors

Résumé : In this talk, I will present recent results obtained in collaboration with Adrian Lam (Ohio State University, USA). We are interested in the classical monostable Lotka—Volterra competition—diffusion system of two species and more precisely in the associated Cauchy problem when the initial conditions are null, or at least exponentially decaying, in a half-space. Thanks to a sophisticated construction of super- and sub-solutions, we manage to characterize completely the possible pairs of asymptotic spreading speeds for the two species. The main result is unexpected and contradicts a conjecture by Shigesada and Kawasaki : the second speed is not always locally determined and a form of acceleration is possible.

JPEG - 32.6 ko

Lieu : CMI, salle de séminaire R164 (1er étage) - I2M - Château-Gombert
39 rue Frédéric Joliot-Curie
13453 MARSEILLE cedex 13

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