On the Bifurcation Structure of a Leslie–Tanner Model with a Generalist Predator

DOI10.1142/S0218127420500881zbMath1446.34068OpenAlexW3035408717WikidataQ115523587 ScholiaQ115523587MaRDI QIDQ5114606

Luis Miguel Valenzuela, Gamaliel Blé, Manuel J. Falconi

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420500881

zbMATH Keywords

Hopf bifurcationpredator-prey modelBautin bifurcationHolling-Tanner model and generalist predator

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) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Unnamed Item
• Limit cycles in the Holling-Tanner model
• Bifurcations of a predator-prey system of Holling and Leslie types
• Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses
• A Generalist Predator and the Planar Zero-Hopf Bifurcation
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Global Stability for a Class of Predator-Prey Systems
• Elements of applied bifurcation theory