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Dynamics and Biological Thresholds

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dc.contributor.authorBurroughs, N. J.
dc.contributor.authorFerreira, M.
dc.contributor.authorMartins, J.
dc.contributor.authorOliveira, B. M. P. M.
dc.contributor.authorPinto, Alberto A.
dc.contributor.authorStollenwerk, N.
dc.date.accessioned2026-02-06T15:10:43Z
dc.date.available2026-02-06T15:10:43Z
dc.date.issued2011
dc.description.abstractOur main interest is to study the relevant biological thresholds that appear in epidemic and immunological dynamical models. We compute the thresholds, of the SIRI epidemic models, that determine the appearance of an epidemic disease. We compute the thresholds, of a Tregs immunological model, that determine the appearance of an immune response.eng
dc.description.sponsorshipPrevious versions of this work were presented in the International Congresses of Mathematicians ICM 2006 and 2010, European Conference on Mathematical and Theoretical Biology ECMTB 2008 and ICDEA 2010. This work was presented in the Encontro Ciência 2008, organized by Alexande Quintanilha, João Sentieiro, Luís Magalhães, Joaquim Cabral e Alberto Pinto. We thank LIAAD-INESC Porto LA, Calouste Gulbenkian Foundation, Programs FEDER, POCTI and POCI by FCT and Ministério da Ciência, Tecnologia e Ensino Superior and Centro de Matemática da Universidade do Minho and Centro de Matemática e Aplicações Fundamentais da Universidade de Lisboa for their financial support. José Martins also acknowledges the financial support from the FCT grant with reference SFRW/BD/37433/2007.14.5pc]Please update references “[5, 6, 8, 19, 26]”. Miguel Ferreira also acknowledges the financial support from the FCT grant with reference SFRH/BD/27706/2006.
dc.identifier.citationBurroughs, N.J., Ferreira, M., Martins, J., Oliveira, B.M.P.M., Pinto, A.A., Stollenwerk, N. (2011). Dynamics and Biological Thresholds. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science I. Springer Proceedings in Mathematics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11456-4_12
dc.identifier.doi10.1007/978-3-642-11456-4_12
dc.identifier.isbn9783642114557
dc.identifier.isbn9783642114564
dc.identifier.issn2190-5614
dc.identifier.issn2190-5622
dc.identifier.urihttp://hdl.handle.net/10400.8/15561
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Berlin Heidelberg
dc.relation.hasversionhttps://link.springer.com/chapter/10.1007/978-3-642-11456-4_12
dc.relation.ispartofSpringer Proceedings in Mathematics
dc.relation.ispartofDynamics, Games and Science I
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleDynamics and Biological Thresholdseng
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage191
oaire.citation.startPage183
oaire.citation.titleDynamics, Games and Science I
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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