BIFURCATIONS IN A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH A RATIONAL NON-MONOTONIC FUNCTIONAL RESPONSE-Reference-Cited by-同舟云学术

BIFURCATIONS IN A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH A RATIONAL NON-MONOTONIC FUNCTIONAL RESPONSE

Published:2022-08-12 Issue:3 Volume:27 Page:510-532
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

González-Olivares Eduardo¹^ORCID,Mosquera-Aguilar Adolfo²^ORCID,Tintinago-Ruiz Paulo²^ORCID,Rojas-Palma Alejandro³^ORCID

Affiliation:

1. Pontiﬁcia Universidad Católica de Valparaiso, Valparaiso, Chile

2. Universidad del Quindío, Armenia, Colombia

3. Departamento de Matemática, Física y Estadística, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca, Chile

Abstract

A Leslie-Gower type predator-prey model including group defense formation is analyzed. This phenomenon, described by a non-monotonic function originates interesting dynamics; positiveness, boundedness, permanence of solutions, and existence of up to three positive equilibria are established. The solutions are highly sensitive to initial conditions since there exists a separatrix curve dividing their behavior. Two near trajectories can have far omega-limit sets. The weakness of a singularity is established showing two limit cycles can exist. Numerical simulations endorse the analytical outcomes.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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