Global attractivity in almost periodic single species models

TL;DR

This paper proves the existence of almost periodic solutions in delayed differential equations with impulses, and applies these findings to a single species model with stage structure.

Contribution

It introduces new existence theorems for almost periodic solutions in impulsive delay differential equations and applies them to ecological models.

Findings

Existence of almost periodic solutions in impulsive delay differential equations.

Application of theoretical results to a stage-structured single species model.

Insights into the dynamics of ecological models with impulses.

Abstract

Using properties of asymptotically almost periodic solutions we prove existence theorem for piece-wise continuous almost periodic solutions of differential equations with delay and impulses. We apply these results to study almost periodic single species model with stage structure and impulses.