Global stability and persistence of complex foodwebs

TL;DR

This paper introduces a new mathematical approach to analyze the long-term stability and persistence of complex foodwebs in ecosystems with multiple species and resources, accounting for self-limitation effects.

Contribution

It extends existing models by incorporating self-limitation and provides conditions for global convergence and persistence of solutions in large foodwebs.

Findings

Established conditions for global stability of foodwebs.

Proved persistence of species under certain ecological conditions.

Generalized previous models to include self-limitation effects.

Abstract

We develop a novel approach to study the global behaviour of large foodwebs for ecosystems where several species share multiple resources. The model extends and generalize some previous works and takes into account self-limitation. Under certain conditions, we establish the global convergence and persistence of solutions.