Bifurcations of a predator-prey model with non-monotonic response function
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Publication:2575104
DOI10.1016/j.crma.2005.09.033zbMath1096.34532OpenAlexW2019350374WikidataQ115578014 ScholiaQ115578014MaRDI QIDQ2575104
Vincent Naudot, Khairul Saleh, Robert Roussarie, Henk W. Broer
Publication date: 5 December 2005
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://pure.rug.nl/ws/files/9772813/2005CRMathBroer.pdf
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (9)
Global analysis in Bazykin's model with Holling II functional response and predator competition ⋮ Stability and bifurcation in two species predator-prey models ⋮ Rich Bifurcation Structure of Prey–Predator Model Induced by the Allee Effect in the Growth of Generalist Predator ⋮ Predator-prey systems with a general non-monotonic functional response ⋮ Dynamics and Bifurcations in a Dynamical System of a Predator-Prey Type with Nonmonotonic Response Function and Time-Periodic Variation ⋮ Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model ⋮ Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting ⋮ Global qualitative analysis of a quartic ecological model ⋮ Bifurcations of a predator-prey model with non-monotonic response function
Cites Work
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- Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
- Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
- Bifurcations of a predator-prey model with non-monotonic response function
- Elements of applied bifurcation theory
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