BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Strong competition limit, traveling waves and best dispersal strategy for Lotka-Volterra competitive systems Girardin, Léo


In this talk, I will present an ongoing work in collaboration with Danielle Hilhorst about the singular limit of a large class of strongly coupled, strongly competitive two-species reaction--diffusion systems. Particular cases are the standard Lotka--Volterra system, the Potts--Petrovskii cross-taxis system and the SKT cross-diffusion system. We focus on the singular limit of traveling waves and use the sign of the wave speed as a criterion to compare dispersal--growth strategies.

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