Dynamics of a slow-fast Leslie-Gower predator-prey model with prey harvesting

DOI10.1063/5.0204183MaRDI QIDQ6663694

Jian Zu, Yantao Yang, Xiang Zhang

Publication date: 14 January 2025

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

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• Bifurcation analysis in a predator-prey model with constant-yield predator harvesting
• Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting
• Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III
• Geometric singular perturbation theory for ordinary differential equations
• Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
• The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
• The elements of physical biology.
• Canard phenomenon in a slow-fast modified Leslie-Gower model
• Dynamical study of quadrating harvesting of a predator-prey model with Monod-Haldane functional response
• Relaxation oscillation and canard explosion for a SIRS model with nonlinear incidence rate
• The dynamics of a bioeconomic model with Michaelis-Menten type prey harvesting
• Singular perturbations of the Holling I predator-prey system with a focus
• Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
• A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting
• The entry-exit theorem and relaxation oscillations in slow-fast planar systems
• Persistence in predator-prey systems with ratio-dependent predator influence
• Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III
• Bifurcations of a predator-prey system of Holling and Leslie types
• Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
• Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting
• Bogdanov-Takens bifurcations of codimensions 2 and 3 in a Leslie-Gower predator-prey model with Michaelis-Menten-type prey harvesting
• The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
• Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems
• Global Stability for a Class of Predator-Prey Systems
• Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator–prey systems
• Global Stability and Canard Explosions of the Predator-Prey Model with the Sigmoid Functional Response
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Relaxation oscillation and canard explosion
• The entry-exit function and geometric singular perturbation theory
• Fluctuations in the abundance of a species considered mathematically.
• Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response
• Oscillatory and transient dynamics of a slow-fast predator-prey system with fear and its carry-over effect
• Predator-prey model with sigmoid functional response
• Cyclicity of the limit periodic sets for a singularly perturbed Leslie-Gower predator-prey model with prey harvesting

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