# Predator-prey models with competition, Part II: uniform regularity   estimates

**Authors:** Henri Berestycki, Alessandro Zilio

arXiv: 1903.11556 · 2019-03-28

## TL;DR

This paper establishes uniform regularity estimates for solutions of a predator-prey elliptic system with many competing predator groups, independent of the number of groups and competition strength.

## Contribution

It provides novel regularity bounds that do not depend on the number of predator groups or the competition intensity, advancing the mathematical understanding of complex ecological models.

## Key findings

- Regularity estimates independent of component number
- Bounds valid for arbitrary competition strength
- Applicable to models with many predator groups

## 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.

## Full text

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## References

11 references — full list in the complete paper: https://tomesphere.com/paper/1903.11556/full.md

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Source: https://tomesphere.com/paper/1903.11556