Global Analysis of Predator-Prey System with Hawk and Dove Tactics

DOI10.1111/J.1467-9590.2009.00466.XzbMath1196.34062OpenAlexW2041849928WikidataQ115529418 ScholiaQ115529418MaRDI QIDQ3406737

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Publication date: 19 February 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2009.00466.x

zbMATH Keywords

bifurcationlimit cyclepredator-prey modelbistability

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)

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Cites Work

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• Geometric singular perturbation theory for ordinary differential equations
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• A predator-prey model with predators using hawk and dove tactics
• Fast and slow dynamics of malaria and the \(S\)-gene frequency
• Saturation recovery leads to multiple endemic equilibria and backward bifurcation
• Global analysis of an epidemic model with nonmonotone incidence rate
• Stability, delay, and chaotic behavior in a Lotka-Volterra predator-prey system
• Evolutionary Games and Population Dynamics
• Noise-Induced Phenomena in Slow-Fast Dynamical Systems
• Dynamical systems in population biology

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