Predator-prey models: a review on some recent adaptations

TL;DR

This paper reviews recent predator-prey models incorporating features like Allee effect, fear, cannibalism, and immigration, analyzing their stability and dynamics to provide a comprehensive overview of advances in the field.

Contribution

It offers a state-of-the-art review of recent predator-prey models with novel biological characteristics and compares their qualitative behaviors and stability properties.

Findings

Different models exhibit unique stability and equilibrium behaviors.

Presence of Allee effect and fear influences system stability.

Limit cycles are observed in several adapted models.

Abstract

In the last years, predator-prey systems have increased their applications and have given rise to systems which represent more accurately different biological issues that appear in the context of interacting species. Our aim in this paper is to give a state-of-art review of recent predator-prey models which include some interesting characteristics as Allee effect, fear effect, cannibalism and immigration. We compare the qualitative results obtained for each of them, particularly regarding the equilibria, local and global stability, and the existence of limit cycles.