Degenerate Hopf bifurcation in a Leslie-Gower predator-prey model with predator harvest

DOI10.1186/s13662-020-02656-3zbMath1482.92081OpenAlexW3033675534WikidataQ113241682 ScholiaQ113241682MaRDI QIDQ2078428

Juan Su

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02656-3

zbMATH Keywords

Hopf bifurcationfocal valueLeslie-Gower predator-prey modelresultant elimination

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

Phase portraits of the Leslie-Gower system

Cites Work

• Soliton solutions for a quasilinear Schrödinger equation with critical exponent
• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting
• Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
• Decomposition of algebraic sets and applications to weak centers of cubic systems
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
• Maximum sustainable yields in systems subject to harvesting at more than one trophic level
• Identifying weak focus of order 3 in a Leslie-Gower prey-predator model with prey harvesting
• Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting
• Mathematical Models in Population Biology and Epidemiology
• 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
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
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