A Leslie–Gower-type predator–prey model with sigmoid functional response

DOI10.1080/00207160.2014.889818zbMath1351.92041OpenAlexW2052346053WikidataQ115552456 ScholiaQ115552456MaRDI QIDQ3451404

Eduardo González-Olivares, Alejandro Rojas-Palma, Paulo C. Tintinago-Ruíz

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.889818

zbMATH Keywords

stabilitybifurcationfunctional responseheteroclinic orbitpredator-prey modelseparatrix curve

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (9)

Influencia del efecto Allee débil en las presas en un modelo de depredación del tipo Leslie-Gower con respuesta funcional sigmoidea ⋮ A Plankton-Nutrient Model with Holling Type III Response Function ⋮ Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators ⋮ Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density ⋮ Allee effect acting on the prey species in a Leslie-Gower predation model ⋮ Stability and bifurcation analysis of a discrete prey-predator model with sigmoid functional response and Allee effect ⋮ Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response ⋮ Multiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey ⋮ BIFURCATIONS IN A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH A RATIONAL NON-MONOTONIC FUNCTIONAL RESPONSE

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• A Lyapunov function for Leslie-Gower predator-prey models
• On a predator-prey system of Gause type
• Qualitative theory of planar differential systems
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
• Uniqueness of a Limit Cycle for a Predator-Prey System
• Dynamics of a Predator-Prey Model
• Absence of limit cycles of a predator-prey system with a sigmoid functional response

This page was built for publication: A Leslie–Gower-type predator–prey model with sigmoid functional response