Noise can prevent onset of chaos in spatiotemporal population dynamics

DC FieldValueLanguage
dc.contributor.authorPetrovskii, S.
dc.contributor.authorMorozov, A.
dc.contributor.authorMalchow, H.
dc.contributor.authorSieber, M.
dc.date.accessioned2021-12-23T16:09:28Z-
dc.date.available2021-12-23T16:09:28Z-
dc.date.issued2010
dc.identifier.issn14346028
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/8818-
dc.description.abstractMany theoretical approaches predict the dynamics of interacting populations to be chaotic but that has very rarely been observed in ecological data. It has therefore risen a question about factors that can prevent the onset of chaos by, for instance, making the population fluctuations synchronized over the whole habitat. One such factor is stochasticity. The so-called Moran effect predicts that a spatially correlated noise can synchronize the local population dynamics in a spatially discrete system, thus preventing the onset of spatiotemporal chaos. On the whole, however, the issue of noise has remained controversial and insufficiently understood. In particular, a well-built nonspatial theory infers that noise enhances chaos by making the system more sensitive to the initial conditions. In this paper, we address the problem of the interplay between deterministic dynamics and noise by considering a spatially explicit predator-prey system where some parameters are affected by noise. Our findings are rather counter-intuitive. We show that a small noise (i.e. preserving the deterministic skeleton) can indeed synchronize the population oscillations throughout space and hence keep the dynamics regular, but the dependence of the chaos prevention probability on the noise intensity is of resonance type. Once chaos has developed, it appears to be stable with respect to a small noise but it can be suppressed by a large noise. Finally, we show that our results are in a good qualitative agreement with some available field data.
dc.language.isoen
dc.publisherSPRINGER
dc.relation.ispartofEUROPEAN PHYSICAL JOURNAL B
dc.subjectFIELD
dc.subjectFLUCTUATIONS
dc.subjectOSCILLATIONS
dc.subjectPARADOX
dc.subjectPATTERN-FORMATION
dc.subjectPERIODIC TRAVELING-WAVES
dc.subjectPHASE SYNCHRONIZATION
dc.subjectPhysics
dc.subjectPhysics, Condensed Matter
dc.subjectPLANKTON
dc.subjectPREDATORS
dc.subjectSKELETONS
dc.titleNoise can prevent onset of chaos in spatiotemporal population dynamics
dc.typejournal article
dc.identifier.doi10.1140/epjb/e2010-10410-8
dc.identifier.isiISI:000285151200012
dc.description.volume78
dc.description.issue2
dc.description.startpage253
dc.description.endpage264
dc.contributor.orcid0000-0002-5806-2760
dc.contributor.orcid0000-0001-6259-2695
dc.contributor.researcheridAAI-6528-2020
dc.identifier.eissn14346036
dc.publisher.placeONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES
dcterms.isPartOf.abbreviationEur. Phys. J. B
crisitem.author.orcid0000-0002-5806-2760-
crisitem.author.netidMaHo367-
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