Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response
From MaRDI portal
Publication:2672866
DOI10.1016/j.cnsns.2022.106517zbMath1487.92031OpenAlexW4224046862WikidataQ114196430 ScholiaQ114196430MaRDI QIDQ2672866
Publication date: 13 June 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106517
relaxation oscillationsgeometric singular perturbation theoryweak Allee effectHolling-IV functional response
Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)
Related Items (4)
Dynamical transition and bifurcation of a diffusive predator-prey model with an Allee effect on prey ⋮ Unveiling the dynamics of canard cycles and global behaviour in a singularly perturbed predator-prey system with Allee effect in predator ⋮ Super-explosion and inverse canard explosion in a piecewise-smooth slow-fast Leslie-Gower model ⋮ Bifurcation and chaos in a discrete predator-prey system of Leslie type with Michaelis-Menten prey harvesting
Cites Work
- Canard limit cycles and global dynamics in a singularly perturbed predator-prey system with non-monotonic functional response
- Bifurcations of Canard limit cycles in several singularly perturbed generalized polynomial Liénard systems
- Canard phenomenon for an SIS epidemic model with nonlinear incidence
- Slow divergence integral and its application to classical Liénard equations of degree 5
- Relaxation oscillations and canard explosion in a predator-prey system of Holling and Leslie types
- Canard cycles for predator-prey systems with Holling types of functional response
- Qualitative analysis of a predator-prey system with double Allee effect in prey
- On bifurcation delay: an alternative approach using geometric singular perturbation theory
- Relaxation oscillation profile of limit cycle in predator-prey system
- Geometric singular perturbation analysis of an autocatalator model
- Geometric singular perturbation theory for ordinary differential equations
- Mathematical problems for the next century
- Relaxation oscillations in a class of predator-prey systems.
- A regime switching model for species subject to environmental noises and additive Allee effect
- A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model
- Stability and bifurcation analysis of an amensalism model with weak allee effect
- The entry-exit theorem and relaxation oscillations in slow-fast planar systems
- Geometric singular perturbation theory in biological practice
- 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
- Extending slow manifolds near transcritical and pitchfork singularities
- Turning Points And Relaxation Oscillation Cycles in Simple Epidemic Models
- Consequences of weak Allee effect on prey in the May-Holling-Tanner predator-prey model
- Existence of Traveling Wave Solutions for a Model of Tumor Invasion
- A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution
- Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
- Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems
- Number and Stability of Relaxation Oscillations for Predator-Prey Systems with Small Death Rates
- Canard Phenomenon in an SIRS Epidemic Model with Nonlinear Incidence Rate
- Geometric Singular Perturbation Theory Beyond the Standard Form
- Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
- Multiple canard cycles in generalized Liénard equations
- Relaxation oscillation and canard explosion
- The entry-exit function and geometric singular perturbation theory
- Unnamed Item
This page was built for publication: Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response