Slow-Fast Dynamics and Its Application to a Biological Model

DOI10.1007/978-3-319-31323-8_14zbMath1365.37064OpenAlexW2512086289MaRDI QIDQ5270278

Chengzhi Li

Publication date: 23 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31323-8_14

zbMATH Keywords

singular perturbationpredator-prey systemslow divergence integralslow-fast cycle and its cyclicity

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Singular perturbations of ordinary differential equations (34D15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (1)

Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve

Cites Work

• Canard phenomenon for an SIS epidemic model with nonlinear incidence
• Slow divergence integral and its application to classical Liénard equations of degree 5
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• Canard cycles and center manifolds
• Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
• Multiple canard cycles in generalized Liénard equations
• Relaxation oscillation and canard explosion

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