Global dynamics of the diffusive Lotka-Volterra competition model with stage structure

TL;DR

This paper analyzes the global behavior of a stage-structured diffusive Lotka-Volterra competition model, revealing that species with shorter maturation times tend to dominate under weak competition conditions.

Contribution

It provides a complete classification of the global dynamics for the weak competition case and introduces methods applicable to other delayed competition models.

Findings

Species with shorter maturation times prevail under weak competition.

Complete classification of global dynamics for the model.

Method applicable to other delayed competition models.

Abstract

The global asymptotic behavior of the classical diffusive Lotka-Volterra competition model with stage structure is studied. A complete classification of the global dynamics is given for the weak competition case. It is shown that under otherwise same conditions, the species with shorter maturation time prevails. The method is also applied to the global dynamics of another delayed competition models.