Delayed stability switches in singularly perturbed predator-prey models
DOI10.1016/j.nonrwa.2016.10.013zbMath1418.34113arXiv1605.07519OpenAlexW2962686779WikidataQ70721745 ScholiaQ70721745MaRDI QIDQ505229
Jacek Banasiak, Milaine Sergine Seuneu Tchamga
Publication date: 19 January 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.07519
predator-prey modelsTikhonov theoremcanard solutionsmultiple time scalessingularly perturbed dynamical systemsdelayed stability switch
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Canard solutions to ordinary differential equations (34E17)
Related Items (3)
Cites Work
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- Canard-type solutions in epidemiological models
- Canard limit cycles and global dynamics in a singularly perturbed predator-prey system with non-monotonic functional response
- A singularly perturbed SIS model with age structure
- Singular perturbations. Introduction to system order reduction methods with applications. With a foreword by Robert O'Malley
- Multiple time scale dynamics
- Differential equations and their applications. An introduction to applied mathematics. 3rd ed
- Chasse au canard
- Dynamic transcritical bifurcations in a class of slow-fast predator-prey models
- Geometric singular perturbation theory for ordinary differential equations
- Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
- Limit cycles in slow-fast forest-pest models
- Singular perturbation methods for ordinary differential equations
- Stability loss delay in harvesting competing populations
- Singularly perturbed problems in case of exchange of stabilities
- Geometric singular perturbation theory in biological practice
- Methods of small parameter in mathematical biology
- Stability in systems with parameter
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Extending slow manifolds near transcritical and pitchfork singularities
- Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems
- Exchange of Stabilities in Autonomous Systems
- Exchange of Stabilities in Autonomous Systems-II. Vertical Bifurcation
- Relaxation oscillations including a standard chase on French ducks
- The Theory of the Chemostat
- Invariant manifolds in singular perturbation problems for ordinary differential equations
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