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Applications of fractional calculus to epidemiological models

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dc.contributor.authorSkwara, Urszula
dc.contributor.authorMartins, José
dc.contributor.authorGhaffari, Peyman
dc.contributor.authorAguiar, Maíra
dc.contributor.authorBoto, João
dc.contributor.authorStollenwerk, Nico
dc.date.accessioned2025-11-06T17:55:14Z
dc.date.available2025-11-06T17:55:14Z
dc.date.issued2012
dc.description.abstractEpidemiological spreading does not only happen from person to neighbouring person but often over wide distances, when infected but asymptomatic persons travel and carry infection to others over wide distances. Superdiffusion has been suggested to model such spreading in spatially restriced contact networks, i.e. there is still a notion of geographical distance, but spreading happens with high probability proportional to large distances. From fractional calculus several ways of describing superdiffusion are know. Here we investigate the representation in Fourier space and which is easily generalizable to higher dimensional space in order to compare with stochastic models of epidemiological spreading.eng
dc.description.sponsorshipThis work has been supported by the European Union under FP7 in the projects EPIWORK and DENFREE and by FCT, Portugal, in various ways, especially via the project PTDC/MAT/115168/2009. U. Skwara is supported by FCT via a special grant through CMAF.
dc.identifier.doi10.1063/1.4756403
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/14553
dc.language.isoeng
dc.peerreviewedn/a
dc.publisherAIP
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article/1479/1/1339/875832/Applications-of-fractional-calculus-to
dc.relation.ispartofAIP Conference Proceedings
dc.rights.uriN/A
dc.subjectFractional derivative
dc.subjectSuperdiffusion
dc.subjectStochastic processes
dc.titleApplications of fractional calculus to epidemiological modelseng
dc.typeconference paper
dspace.entity.typePublication
oaire.citation.conferencePlaceKos, Greece
oaire.citation.endPage1342
oaire.citation.issue1
oaire.citation.startPage1339
oaire.citation.titleInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
oaire.citation.volume1479
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameGouveia Martins
person.givenNameJosé Maria
person.identifier.ciencia-id9015-9D8C-93DF
person.identifier.gsid43461781600
person.identifier.orcid0000-0002-0556-7861
relation.isAuthorOfPublication29fc5be8-b5a2-489c-92d3-c0efe7e57892
relation.isAuthorOfPublication.latestForDiscovery29fc5be8-b5a2-489c-92d3-c0efe7e57892

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