Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics

DOI10.1016/j.jtbi.2005.06.012zbMath1445.92230OpenAlexW1992462962WikidataQ46669420 ScholiaQ46669420MaRDI QIDQ2194956

Pierre Auger, Jean-Christophe Poggiale, Rafael Bravo de la Parra, Bob W. Kooi

Publication date: 7 September 2020

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2005.06.012

zbMATH Keywords

predator-prey modelbifurcation analysisslow-fast dynamicsaggregation of variableshawk-dove tactics

Mathematics Subject Classification ID

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

Related Items (6)

Modelling the dynamics of traits involved in fighting-predators-prey system ⋮ Effects of Fast Hawk-Dove-Bully Game on the Dynamics of a Stage-structured Population ⋮ Stochastic models of kleptoparasitism ⋮ Effects of density-dependent migrations on stability of a two-patch predator-prey model ⋮ Positive solutions for a diffusive Bazykin model in spatially heterogeneous environment ⋮ Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions

Uses Software

• AUTO
• LOCBIF

Cites Work

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• Aggregation and emergence in systems of ordinary differential equations
• Aggregation methods in food chains
• Fast game theory coupled to slow population dynamics: the case of domestic cat populations
• Elements of applied bifurcation theory.
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
• On the use of the logistic equation in models of food chains.
• A predator-prey model with predators using hawk and dove tactics
• Uniqueness of a Limit Cycle for a Predator-Prey System
• Competing Predators
• Mass Balance Equation Versus Logistic Equation in Food Chains
• Evolutionary Games and Population Dynamics
• Invariant manifolds in singular perturbation problems for ordinary differential equations

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