High multiplicity and global structure of coexistence states in a predator-prey model with saturation
Dynamical Systems
2025-08-11 v1 Analysis of PDEs
Abstract
This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can have an arbitrarily large number of coexistence states for sufficiently large saturation rates. Moreover, it ascertains the global structure of the set of coexistence states in the limiting system as the saturation rate blows-up.
Cite
@article{arxiv.2508.05714,
title = {High multiplicity and global structure of coexistence states in a predator-prey model with saturation},
author = {Kousuke Kuto and Julián López-Gómez and Eduardo Muñoz-Hernández},
journal= {arXiv preprint arXiv:2508.05714},
year = {2025}
}
Comments
30 pages, 5 figures