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Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systems

dc.contributor.authorCosta, Fernando Pestana da
dc.contributor.authorPinto, João Teixeira
dc.contributor.authorSasportes, Rafael
dc.contributor.authorRoessel, Henry J. van
dc.date.accessioned2012-06-25T16:49:21Z
dc.date.available2012-06-25T16:49:21Z
dc.date.issued2012-06
dc.description.abstractIn a recent paper, Laurencot and van Roessel (2010 J. Phys. A: Math. Theor., 43, 455210) studied the scaling behaviour of solutions to a two-species coagulation–annihilation system with total annihilation and equal strength coagulation, and identified cases where self-similar behaviour occurs, and others where it does not. In this paper, we proceed with the study of this kind of system by assuming that the coagulation rates of the two different species need not be equal. By applying Laplace transform techniques, the problem is transformed into a two-dimensional ordinary differential system that can be transformed into a Lotka–Volterra competition model. The long-time behaviour of solutions to this Lotka–Volterra system helps explain the different cases of existence and nonexistence of similarity behaviour, as well as why, in some cases, the behaviour is nonuniversal, in the sense of being dependent on initial conditions.por
dc.description.sponsorshipFPC, JTP e RS foram parcialmente financiados pelo CAMGSD-LARSyS através do financiamento plurianual atribuido pela Fundação para a Ciência e Tecnologia (Portugal)por
dc.identifier.citationCosta, Fernando Pestana da [et al.] - Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systems. "Journal of Physics A [Em linha]: Mathematical and Theoretical". ISSN 1751-8113 (Print) 1751-8121 (Online). Vol. 45 (2012), p. 1-16por
dc.identifier.issn1751-8113 (Print)
dc.identifier.issn1751-8121 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.2/2124
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherInstitute of Physicspor
dc.relation.publisherversiondoi:10.1088/1751-8113/45/28/285201por
dc.subjectEquações de coagulação-aniquilaçãopor
dc.subjectSoluções autosemelhantespor
dc.subjectEquações de Lotka-Volterrapor
dc.titleScaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systemspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceBristolpor
oaire.citation.titleJournal of Physics A: Mathematical and Theoreticalpor
person.familyNameCosta
person.familyNameTeixeira Pinto
person.familyNameSasportes
person.givenNameFernando Pestana da
person.givenNameJoão
person.givenNameRafael
person.identifier.ciencia-id1610-6502-E6C5
person.identifier.ciencia-idDC16-AE64-30AE
person.identifier.orcid0000-0002-9072-797X
person.identifier.orcid0000-0003-0190-2113
person.identifier.orcid0000-0003-2855-9490
person.identifier.ridK-5942-2013
person.identifier.scopus-author-id14827970300
person.identifier.scopus-author-id7402584922
person.identifier.scopus-author-id24176381600
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication378f92b2-9a55-4997-b135-4e099cd76d84
relation.isAuthorOfPublication51b5ae32-4da8-4e15-bdb6-f59ec776d293
relation.isAuthorOfPublication.latestForDiscovery72748d24-0598-4f36-804e-87eebd0d06af

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