Canard phenomena for a slow-fast predator-prey system with group defense of the prey
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Publication:6110879
DOI10.1016/j.jmaa.2023.127418zbMath1520.34045MaRDI QIDQ6110879
No author found.
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)
Cites Work
- Unnamed Item
- Canard phenomenon for an SIS epidemic model with nonlinear incidence
- Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
- Canard cycles for predator-prey systems with Holling types of functional response
- Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge
- Predator-prey systems with group defence: The paradox of enrichment revisited
- Geometric singular perturbation theory for ordinary differential equations
- Hopf bifurcation in three-species food chain models with group defense
- Global qualitative analysis of a ratio-dependent predator-prey system
- Global qualitative analysis for a ratio-dependent predator-prey model with delay.
- Modelling, singular perturbation and bifurcation analyses of bitrophic food chains
- Stability in a predator-prey model with Crowley-Martin function and stage structure for prey
- Canard phenomenon in a slow-fast modified Leslie-Gower model
- Relaxation oscillations in a slow-fast modified Leslie-Gower model
- Global dynamics of a predator-prey system modeling by metaphysiological approach
- Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models
- Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response
- Oscillations and pattern formation in a slow-fast prey-predator system
- Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Extending slow manifolds near transcritical and pitchfork singularities
- Bifurcations of Invariant Tori in Predator-Prey Models with Seasonal Prey Harvesting
- Canard cycles in the presence of slow dynamics with singularities
- Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
- Canard cycles and center manifolds
- CODIMENSION TWO BIFURCATIONS IN A PREDATOR–PREY SYSTEM WITH GROUP DEFENSE
- Relaxation oscillation and canard explosion
- Relaxation oscillation and canard explosion in a slow-fast predator-prey model with Beddington-DeAngelis functional response
