Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III

DOI10.1016/j.jde.2011.04.017zbMath1236.34059OpenAlexW2021377296MaRDI QIDQ640052

Christiane Rousseau, Sophie Laurin

Publication date: 12 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.04.017

zbMATH Keywords

Hopf bifurcationgeneralized Gause model with prey harvestingHolling response function of type IIInilpotent saddle bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Multiple positive periodic solutions of a Gause-type predator-prey model with Allee effect and functional responses, Global analysis in Bazykin's model with Holling II functional response and predator competition, An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change, A predator-prey system with generalized Holling type IV functional response and Allee effects in prey, Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting, Some uniqueness and multiplicity results for a predator-prey dynamics with a nonlinear growth rate, Dynamics of a predator-prey model with nonlinear growth rate and B-D functional response

Cites Work

• Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
• Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type