Effects of density-dependent migration on a population subjected to Allee effect

TL;DR

This paper investigates how density-dependent migration influences the population dynamics of a species experiencing the Allee effect, highlighting the complex interplay between migration rates and population thresholds.

Contribution

It introduces a model where migration rate depends on population density, integrating the Allee effect with density-dependent migration to analyze population stability.

Findings

Migration rate decreases as population approaches carrying capacity

Density-dependent migration can stabilize or destabilize populations with Allee effect

The model reveals critical thresholds affecting population persistence

Abstract

This study assessed the effects of migration on the dynamics of a species population. It was considered that the species in its natural state and without the presence of migration exhibited Allee effect. This work also considered migration as a density-dependent function, which, from a maximum rate, decreases to a minimum of zero when the population reaches its carrying capacity.