Canard solutions in equations with backward bifurcations of the quasi-steady state manifold
DOI10.1016/j.jmaa.2018.11.013zbMath1444.34069OpenAlexW2900049101WikidataQ70721679 ScholiaQ70721679MaRDI QIDQ1633591
Publication date: 20 December 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.11.013
predator-prey modelscanard solutionsmultiple time scalessingularly perturbed dynamical systemsbackward bifurcationdelayed stability switch
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Canard solutions to ordinary differential equations (34E17)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Canard-type solutions in epidemiological models
- Canard limit cycles and global dynamics in a singularly perturbed predator-prey system with non-monotonic functional response
- Multiple time scale dynamics
- Delayed stability switches in singularly perturbed predator-prey models
- Chasse au canard
- Geometric singular perturbation theory for ordinary differential equations
- Limit cycles in slow-fast forest-pest models
- Singular perturbation methods for ordinary differential equations
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Canard phenomenon in a slow-fast modified Leslie-Gower model
- Geometric singular perturbation theory in biological practice
- Methods of small parameter in mathematical biology
- SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS IN CASES OF EXCHANGE OF STABILITIES
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Extending slow manifolds near transcritical and pitchfork singularities
- Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
- Exchange of Stabilities in Autonomous Systems
- Exchange of Stabilities in Autonomous Systems-II. Vertical Bifurcation
- Renormalization group second‐order approximation for singularly perturbed nonlinear ordinary differential equations
- Relaxation oscillations including a standard chase on French ducks
- Canard cycles and center manifolds
- An Introduction to Mathematical Epidemiology
This page was built for publication: Canard solutions in equations with backward bifurcations of the quasi-steady state manifold