Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting

DOI10.1002/mma.4484zbMath1384.34057OpenAlexW2724389464MaRDI QIDQ3133995

Publication date: 8 February 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4484

zbMATH Keywords

predator-prey model phase portrait Michaelis-Menten-type harvesting Bogdanov-Takens bifurcation of codimension 2 or 3

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) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (11)

Bifurcations in a modified Leslie-Gower predator-prey discrete model with Michaelis-Menten prey harvesting ⋮ Dynamics of a Leslie-Gower predator-prey system with hunting cooperation and prey harvesting ⋮ Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator ⋮ Bifurcation analysis of a Kolmogorov type tritrophic model ⋮ Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting ⋮ Study of co-dimension two bifurcation of a prey-predator model with prey refuge and non-linear harvesting on both species ⋮ Bifurcation analysis and simulations of a modified Leslie–Gower predator–prey model with constant‐type prey harvesting ⋮ Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis ⋮ Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses ⋮ Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting ⋮ Stability and bifurcation analysis in a single-species stage structure system with Michaelis-Menten-type harvesting

This page was built for publication: Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting