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Predator–Prey Models: A Review of Some Recent Advances

Érika Diz-Pita, M. Victoria Otero‐Espinar

2021Mathematics67 citationsDOIOpen Access PDF

Abstract

In recent 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-the-art review of recent predator–prey models which include some interesting characteristics such 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.

Topics & Concepts

PredationPredatorEcologyBiologyMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsEvolutionary Game Theory and Cooperation
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