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Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss

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Publication:1431412
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DOI10.3934/dcds.2003.9.1465zbMath1044.37036OpenAlexW2334023328MaRDI QIDQ1431412

Weishi Liu, Sze-Bi Hsu, Mikhail Malkin, Ming-Chia Li

Publication date: 8 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.1465

zbMATH Keywords

singular perturbationturning pointfirst integraldelayed loss of stability


Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75)


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Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems, Global behavior for the classical Nicholson-Bailey model, A host-parasitoid interaction with Allee effects on the host, The \(P^*\) rule in the stochastic Holt-Lawton model of apparent competition



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