A Generalist Predator and the Planar Zero-Hopf Bifurcation

DOI10.1142/S0218127417500341zbMath1360.34112WikidataQ115523758 ScholiaQ115523758MaRDI QIDQ2985990

Gamaliel Blé, Luis Miguel Valenzuela, Manuel J. Falconi

Publication date: 11 May 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationpredator-prey modelHolling-Tanner modelgeneralist predatorplanar zero-Hopf bifurcation

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)

Related Items (2)

On the Bifurcation Structure of a Leslie–Tanner Model with a Generalist Predator ⋮ Turing–Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling–Tanner Model with Diffusion

Cites Work

• Limit cycles in the Holling-Tanner model
• A Lyapunov function for Leslie-Gower predator-prey models
• Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
• Bifurcations of a predator-prey system of Holling and Leslie types
• DEGENERATE HOPF BIFURCATION IN NONSMOOTH PLANAR SYSTEMS
• The properties of a stochastic model for the predator-prey type of interaction between two species
• The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
• Global Stability for a Class of Predator-Prey Systems
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