The analysis of higher-order cascade systems with separation conditions pivoting on the slow components: Application to a model of migration for survival of the species

DOI10.1016/S0895-7177(03)90035-5zbMath1045.92035OpenAlexW1970961440WikidataQ114655725 ScholiaQ114655725MaRDI QIDQ597538

Yongwimon Lenbury, Thongchai Dumrongpokaphan, Philip S. Crooke

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(03)90035-5

zbMATH Keywords

PersistenceSingular perturbationsCascade systemsMigrationSustained oscillations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ecology (92D40) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Unnamed Item
• A separation condition for the existence of limit cycles in slow-fast systems
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems

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