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arXiv · 1503.06076

Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed

Léo Girardin·Grégoire Nadin
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Abstract

Our interest here is to find the invader in a two species, diffusive and competitive Lotka-Volterra system in the particular case of travelling wave solutions. We investigate the role of diffusion in homogeneous domains. We might expect a priori two different cases: strong interspecific competition and weak interspecific competition. In this paper, we study the first one and obtain a clear conclusion: the invading species is, up to a fixed multiplicative constant, the more diffusive one.

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Léo Girardin, Grégoire Nadin. 2015-03-20. Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. https://doi.org/10.1017/s0956792515000170

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