Canard solutions in equations with backward bifurcations of the quasi-steady state manifold

Banasiak, Jacek; Seuneu Tchamga, M.S.; Szymańska-Dȩbowska, Katarzyna

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dc.contributor.author	Banasiak, Jacek
dc.contributor.author	Seuneu Tchamga, M.S.
dc.contributor.author	Szymańska-Dȩbowska, Katarzyna
dc.date.accessioned	2018-11-23T08:36:39Z
dc.date.issued	2019-03
dc.description.abstract	In this paper we consider a delayed exchange of stability for solutions of a singularly perturbed nonautonomous equation in the case when a backward bifurcation of its quasi-steady (critical) manifolds occurs. This result is applied to provide a precise description of canard solutions to singularly perturbed predator–prey models of Rosenzweig–MacArthur and Leslie–Gowers type.	en_ZA
dc.description.department	Mathematics and Applied Mathematics	en_ZA
dc.description.embargo	2020-03-01
dc.description.librarian	hj2018	en_ZA
dc.description.uri	http://www.elsevier.com/locate/jmaa	en_ZA
dc.identifier.citation	Banasiak, J., Seuneu Tchamga, M.S. & Szymańska-Dȩbowska, K. 2019, 'Canard solutions in equations with backward bifurcations of the quasi-steady state manifold', Journal of Mathematical Analysis and Applications, vol. 471, no. 1–2, pp. 776-795.	en_ZA
dc.identifier.issn	0022-247X (print)
dc.identifier.issn	1096-0813 (online)
dc.identifier.other	10.1016/j.jmaa.2018.11.013
dc.identifier.uri	http://hdl.handle.net/2263/67305
dc.language.iso	en	en_ZA
dc.publisher	Elsevier	en_ZA
dc.rights	© 2018 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, vol. 471, no. 1-2, pp. 776-795, 2019. doi : 10.1016/j.jmaa.2018.11.013.	en_ZA
dc.subject	Backward bifurcation	en_ZA
dc.subject	Canard solutions	en_ZA
dc.subject	Delayed stability switch	en_ZA
dc.subject	Multiple time scales	en_ZA
dc.subject	Predator–prey models	en_ZA
dc.subject	Singularly perturbed dynamical systems	en_ZA
dc.title	Canard solutions in equations with backward bifurcations of the quasi-steady state manifold	en_ZA
dc.type	Postprint Article	en_ZA