Pré-Publication, Document De Travail Année : 2025

TRAVELING WAVE SOLUTIONS FOR A SINGULAR DIFFUSIVE PREY-PREDATOR MODEL WITH NONLOCAL DISPERSAL

Résumé

We study a singular diffusive prey-predator system with nonlocal dispersal for which the carrying capacity of the predator is proportional to the density of prey. We show the existence of positive one-dimensional traveling waves connecting the predator-free state and the constant co-existence state. The set of admissible wave speeds is proved to be equal to the semi-infinite interval $[s^*,\infty)$, for some $s^*>0$ which is characterized by a variational formula.

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Dates et versions

hal-05400232 , version 1 (05-12-2025)

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Jong-Shenq Guo, François Hamel, Chin-Chin Wu. TRAVELING WAVE SOLUTIONS FOR A SINGULAR DIFFUSIVE PREY-PREDATOR MODEL WITH NONLOCAL DISPERSAL. 2025. ⟨hal-05400232⟩
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