Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal
Analysis of PDEs
2025-12-09 v1
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 , for some which is characterized by a variational formula.
Cite
@article{arxiv.2512.07362,
title = {Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal},
author = {Jong-Shenq Guo and François Hamel and Chin-Chin Wu},
journal= {arXiv preprint arXiv:2512.07362},
year = {2025}
}