Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses

DOI10.1007/S10440-019-00302-ZzbMath1466.37043OpenAlexW2991440787MaRDI QIDQ2023050

Gamaliel Blé, Miguel Angel Dela-Rosa

Publication date: 3 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-019-00302-z

zbMATH Keywords

Bogdanov-Takens-bifurcationHolling functional responsesLeslie-type tritrophic model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

Complex Dynamics on a Discrete Tritrophic Model of Leslie Type with General Functional Responses ⋮ Bifurcation analysis of a Kolmogorov type tritrophic model

Cites Work

• Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
• Control of the planar Takens-Bogdanov bifurcation with applications
• Allee effect acting on the prey species in a Leslie-Gower predation model
• Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
• Bogdanov-Takens and triple zero bifurcations of a delayed modified Leslie-Gower predator prey system
• Bifurcations of a predator-prey system of Holling and Leslie types
• Bifurcation of Codimension 3 in a Predator–Prey System of Leslie Type with Simplified Holling Type IV Functional Response
• Bogdanov–Takens bifurcation with codimension three of a predator–prey system suffering the additive Allee effect
• Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting
• Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
• Codimension Bifurcation Analysis of a Modified Leslie–Gower Predator–Prey Model with Two Delays
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Global Stability for a Class of Predator-Prey Systems
• Elements of applied bifurcation theory

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