Strange limits of stability in host-parasitoid systems

DOI10.1007/BF00573461zbMath0803.92024WikidataQ61910913 ScholiaQ61910913MaRDI QIDQ1336377

Manfred Zimmermann, Walter Senn, Rudolf Hauser, Christoph Meier

Publication date: 28 November 1994

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

limit cyclesequilibriasmall perturbationsBirkhoffglobal behaviourKAM-theorydiscrete generationsgeneralized Nicholson-Bailey modelhost- parasitoid systemlocal linearized stability analysis

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Additive difference equations (39A10)

Related Items (3)

Prey dominance in discrete predator-prey systems with a prey refuge ⋮ On may's host parasitoid model ⋮ Stability of a class of nonlinear difference equations

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
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