Traveling wave solutions for a singular diffusive prey-predator model with nonlocal dispersal
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.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - B
- Volume
- 40
- Issue
- 0
- Pages
- 125–136
- Publication date
- 1 January 2026
- Language
- EN