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arXiv · 2512.07362

Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal

Jong-Shenq Guo·François Hamel·Chin-Chin Wu
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Abstract

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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Jong-Shenq Guo, François Hamel, Chin-Chin Wu. 2025-12-08. Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal. https://arxiv.org/abs/2512.07362

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