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Hamel, F. ; Fayard, J.* ; Roques, L.*

Spreading speeds in slowly oscillating environments.

Bull. Math. Biol. 72, 1166-1191 (2010)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
In this paper, we derive exact asymptotic estimates of the spreading speeds of solutions of some reaction-diffusion models in periodic environments with very large periods. Contrarily to the other limiting case of rapidly oscillating environments, there was previously no explicit formula in the case of slowly oscillating environments. The knowledge of these two extremes permits to quantify the effect of environmental fragmentation on the spreading speeds. On the one hand, our analytical estimates and numerical simulations reveal speeds which are higher than expected for Shigesada-Kawasaki-Teramoto models with Fisher-KPP reaction terms in slowly oscillating environments. On the other hand, spreading speeds in very slowly oscillating environments are proved to be 0 in the case of models with strong Allee effects; such an unfavorable effect of aggregation is merely seen in reaction-diffusion models.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Spreading speeds; Reaction-diffusion; Fragmentation; Periodic environment; Allee effect
Sprache
Veröffentlichungsjahr 2010
HGF-Berichtsjahr 2010
ISSN (print) / ISBN 0092-8240
e-ISSN 1522-9602
Zeitschrift Bulletin of Mathematical Biology
Quellenangaben Band: 72, Heft: 5, Seiten: 1166-1191 Artikelnummer: , Supplement: ,
Verlag Springer
Verlagsort New York, NY
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)
PSP-Element(e) G-503800-002
DOI 10.1007/s11538-009-9486-7
Scopus ID 77149153766
Erfassungsdatum 2010-12-31
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