Spreading speeds for a two-species competition-diffusion system
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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