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Article Dans Une Revue Journal of Differential Equations Année : 2018

Spreading speeds for a two-species competition-diffusion system

Cécile Carrère

Résumé

In this paper, spreading properties of a competition-diffusion system of two equations are studied. This system models the invasion of an empty favorable habitat, by two competing species, each obeying a logistic growth equation, such that any coexistence state is unstable. If the two species are initially absent from the right half-line x > 0, and the slowest one dominates the fastest one on x < 0, then the latter will invade the right space at its Fisher- KPP speed, and will be replaced by or will invade the former, depending on the parameters, at a slower speed. Thus, the system forms a propagating terrace, linking an unstable state to two consecutive stable states.
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Dates et versions

hal-01495158 , version 1 (24-03-2017)
hal-01495158 , version 2 (10-04-2017)
hal-01495158 , version 3 (15-11-2017)

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Cécile Carrère. Spreading speeds for a two-species competition-diffusion system. Journal of Differential Equations, 2018, 264 (3), pp.2133 - 2156. ⟨10.1016/j.jde.2017.10.017⟩. ⟨hal-01495158v3⟩
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