Local Collapses in the Truscott-Brindley Model

DC FieldValueLanguage
dc.contributor.authorSiekmann, I.
dc.contributor.authorMalchow, H.
dc.date.accessioned2021-12-23T16:02:58Z-
dc.date.available2021-12-23T16:02:58Z-
dc.date.issued2008
dc.identifier.issn09735348
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/5723-
dc.description.abstractRelaxation oscillations are limit cycles with two clearly different time scales. In this article the spatio-temporal dynamics of a standard prey-predator system in the parameter region of relaxation oscillation is investigated. Both prey and predator population are distributed irregularly at a relatively high average level between a maximal and a minimal value. However, the slowly developing complex pattern exhibits a feature of ``inverse excitability'': Both populations show collapses which occur erratically both in space and in time. The nature of these collapses is analysed statistically and it is shown that the model behaviour can be interpreted as a resolution of the paradox of enrichment.
dc.description.sponsorshipDAADDeutscher Akademischer Austausch Dienst (DAAD)European Commission; Most of the research for this article was accomplished during a two-month stay at the Ben Gurion University in Beer Sheva, Israel. IS thanks for the friendly hospitality of Ehud Meron and his group and acknowledges the support of the DAAD for this very fruitful visit. The comments of two anonymous reviewers which improved the manuscript a lot are also gratefully acknowledged.
dc.language.isoen
dc.publisherEDP SCIENCES S A
dc.relation.ispartofMATHEMATICAL MODELLING OF NATURAL PHENOMENA
dc.subjectexcitability
dc.subjectMathematical & Computational Biology
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectMathematics, Interdisciplinary Applications
dc.subjectparadox of enrichment
dc.subjectrelaxation oscillations
dc.subjectslow-fast cycles
dc.subjectspatiotemporal patterns
dc.titleLocal Collapses in the Truscott-Brindley Model
dc.typejournal article
dc.identifier.doi10.1051/mmnp:2008066
dc.identifier.isiISI:000207834000006
dc.description.volume3
dc.description.issue4
dc.description.startpage114
dc.description.endpage130
dc.contributor.orcid0000-0002-0706-6307
dc.contributor.orcid0000-0002-5806-2760
dc.contributor.researcheridD-7101-2014
dc.publisher.place17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, FRANCE
dcterms.isPartOf.abbreviationMath. Model. Nat. Phenom.
dcterms.oaStatusBronze, Green Submitted
crisitem.author.orcid0000-0002-5806-2760-
crisitem.author.netidMaHo367-
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