Predator-prey models with competition, Part II: uniform regularity estimates
Analysis of PDEs
2019-03-28 v1
Abstract
We study a system of elliptic equations with strong competition and an arbitrary large number of components. The system is related to a model of predators and prey, with a single and where several predators compete with each other. In this paper we derive regularity estimates of the solutions that are independent of the number of components (i.e., groups of predators) and the strength of competition between the components.
Cite
@article{arxiv.1903.11556,
title = {Predator-prey models with competition, Part II: uniform regularity estimates},
author = {Henri Berestycki and Alessandro Zilio},
journal= {arXiv preprint arXiv:1903.11556},
year = {2019}
}