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dc.contributor.authorBlath, Jochen
dc.contributor.authorEtheridge, Alison
dc.contributor.authorMeredith, Mark
dc.description.abstractNote: This paper is the full version of Blath, Etheridge & Meredith (2007). It has also successfully undergone the peer-reviewing process of Annals of Applied Probability, but proved too long to be published in its entirety. It contains full technical details and additional remarks. We propose two models of the evolution of a pair of competing populations. Both are lattice based. The first is a compromise between fully spatial models, which do not appear amenable to analytic results, and interacting particle system models, which don't, at present, incorporate all the competitive strategies that a population might adopt. The second is a simplification of the first in which competition is only supposed to act within lattice sites and the total population size within each lattice point is a constant. In a special case, this second model is dual to a branching-annihilating random walk. For each model, using a comparison with oriented percolation, we show that for certain parameter values both populations will coexist for all time with positive probability. As a corollary we deduce survival for all time of branching annihilating random walk for sufficiently large branching rates. We also present a number of conjectures relating to the role of space in the survival probabilities for the two populations.en
dc.subject.ddc510 Mathematiken
dc.subject.othercompeting speciesen
dc.subject.otherbranching annihilating random walken
dc.subject.otherinteracting diffusionsen
dc.subject.otherregulated populationen
dc.subject.otherstepping stone modelen
dc.subject.otherFeller diffusionen
dc.subject.otherWright-Fisher diffusionen
dc.titleCoexistence in locally regulated competing populations and survival of BARW: Full technical details and additional remarksen
dc.typeResearch Paperen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2008, 16en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200060K35 Interacting random processes; statistical mechanics type models; percolation theoryen
tub.subject.msc200060J80 Branching processesen
tub.subject.msc200060J85 Applications of branching processesen
tub.subject.msc200060J70 Applications of diffusion theoryen
tub.subject.msc200092D25 Population dynamicsen
Appears in Collections:Technische Universität Berlin » Publications

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