Publication
Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systems
| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.contributor.author | Pinto, João Teixeira | |
| dc.contributor.author | Sasportes, Rafael | |
| dc.contributor.author | Roessel, Henry J. van | |
| dc.date.accessioned | 2012-06-25T16:49:21Z | |
| dc.date.available | 2012-06-25T16:49:21Z | |
| dc.date.issued | 2012-06 | |
| dc.description.abstract | In 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.sponsorship | FPC, 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.citation | Costa, 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. 1-16 | por |
| dc.identifier.issn | 1751-8113 (Print) | |
| dc.identifier.issn | 1751-8121 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/2124 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Institute of Physics | por |
| dc.relation.publisherversion | doi:10.1088/1751-8113/45/28/285201 | por |
| dc.subject | Equações de coagulação-aniquilação | por |
| dc.subject | Soluções autosemelhantes | por |
| dc.subject | Equações de Lotka-Volterra | por |
| dc.title | Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systems | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Bristol | por |
| oaire.citation.title | Journal of Physics A: Mathematical and Theoretical | por |
| person.familyName | Costa | |
| person.familyName | Pinto | |
| person.familyName | Sasportes | |
| person.givenName | Fernando Pestana da | |
| person.givenName | João Teixeira | |
| person.givenName | Rafael | |
| person.identifier.ciencia-id | 1610-6502-E6C5 | |
| person.identifier.ciencia-id | DC16-AE64-30AE | |
| person.identifier.orcid | 0000-0002-9072-797X | |
| person.identifier.orcid | 0000-0003-0190-2113 | |
| person.identifier.orcid | 0000-0003-2855-9490 | |
| person.identifier.rid | K-5942-2013 | |
| person.identifier.scopus-author-id | 14827970300 | |
| person.identifier.scopus-author-id | 7402584922 | |
| person.identifier.scopus-author-id | 24176381600 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
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| relation.isAuthorOfPublication.latestForDiscovery | 72748d24-0598-4f36-804e-87eebd0d06af |