Allee effect acting on the prey species in a Leslie-Gower predation model

DOI10.1016/j.nonrwa.2018.08.009zbMath1408.34039OpenAlexW2890124670WikidataQ129297988 ScholiaQ129297988MaRDI QIDQ1729205

Pablo Aguirre, Nicole Martínez-Jeraldo

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.08.009

zbMATH Keywords

stabilitybifurcationsAllee effectLeslie-Gower predator-prey model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (19)

Relaxation Oscillations and Canard Explosion of a Leslie–Gower Predator–Prey System with Addictive Allee Effect ⋮ Dynamics of a ratio-dependent Leslie-Gower predator-prey model with Allee effect and fear effect ⋮ Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect ⋮ Qualitative and bifurcation analysis in a Leslie-Gower model with Allee effect ⋮ Canard Cycles and Relaxation Oscillations in a Singularly Perturbed Leslie–Gower Predator–Prey Model with Allee Effect ⋮ ROLE OF ALLEE EFFECT AND HARVESTING OF A FOOD-WEB SYSTEM IN THE PRESENCE OF SCAVENGERS ⋮ Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator ⋮ Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge ⋮ Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior ⋮ The impact of Allee effect on a Leslie-Gower predator-prey model with hunting cooperation ⋮ The environmental effect on dynamics of the competition model with herd behavior ⋮ STABILITY AND HOPF BIFURCATION ANALYSIS ON A SPRUCE-BUDWORM MODEL WITH DELAY ⋮ Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses ⋮ A modified May-Holling-Tanner predator-prey model with multiple allee effects on the prey and an alternative food source for the predator ⋮ The effects of harvesting on the dynamics of a Leslie-Gower model ⋮ Poincaré compactification for non-polynomial vector fields ⋮ The basins of attraction in a modified May-Holling-Tanner predator-prey model with Allee affect ⋮ Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple allee effect ⋮ Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme

Uses Software

• AUTO
• AUTO-07P

Cites Work

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