Slow-fast dynamics of a piecewise-smooth Leslie-Gower model with Holling type-I functional response and weak Allee effect
DOI10.1142/S021812742450086XzbMATH Open1546.37177MaRDI QIDQ6608840
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Publication date: 20 September 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
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Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Canard solutions to ordinary differential equations (34E17)
Cites Work
- Title not available (Why is that?)
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- Multiple time scale dynamics
- Cyclicity of common slow-fast cycles
- Bifurcation structures in a 2D exponential diffeomorphism with Allee effect
- Geometric singular perturbations for multiple turning points: invariant manifolds and exchange lemmas
- Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
- Limit cycles in the Holling-Tanner model
- The elements of physical biology.
- Exchange lemmas for singular perturbation problems with certain turning points
- Relaxation oscillations in a slow-fast modified Leslie-Gower model
- Relaxation oscillations for Leslie-type predator-prey model with Holling type I response functional function
- Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response
- Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response
- Uniqueness of limit cycles for sewing planar piecewise linear systems
- Piecewise-smooth dynamical systems. Theory and applications
- Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III
- Canard-cycle transition at a fast-fast passage through a jump point
- Canard cycle transition at a slow-fast passage through a jump point
- Bifurcations of a predator-prey system of Holling and Leslie types
- Allee effect in a prey-predator system
- Extending geometric singular perturbation theory to nonhyperbolic points -- fold and canard points in two dimensions
- Canard explosion and relaxation oscillation in planar, piecewise-smooth, continuous systems
- Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response
- The properties of a stochastic model for the predator-prey type of interaction between two species
- ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
- Canard cycles in the presence of slow dynamics with singularities
- Dynamics of a Predator-Prey Model
- Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems
- Allee’s Effect Bifurcation in Generalized Logistic Maps
- Remarks on Competitive Coexistence
- Global Stability for a Class of Predator-Prey Systems
- Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect
- Bifurcations in a Predator–Prey Model of Leslie-Type with Simplified Holling Type IV Functional Response
- Relaxation oscillation and canard explosion
- The entry-exit function and geometric singular perturbation theory
- Fluctuations in the abundance of a species considered mathematically.
- Relaxation oscillation and canard explosion in a slow-fast predator-prey model with Beddington-DeAngelis functional response
- Super-explosion and inverse canard explosion in a piecewise-smooth slow-fast Leslie-Gower model
- Modeling the dynamics of a ratio-dependent Leslie-Gower predator-prey system with strong Allee effect
- Chaos and bistabilities in a food-chain model with Allee effect and additional food
- Role of Allee effect, hunting cooperation, and dispersal to prey-predator model
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