Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis

We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which...

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Autores: Nurtay, Anel, Hennessy, Matthew G., Sardanyés, Josep, Alsedà, Lluís, Elena, Santiago F.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/220732
Acceso en línea:http://hdl.handle.net/10261/220732
Access Level:acceso abierto
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spelling Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysisNurtay, AnelHennessy, Matthew G.Sardanyés, JosepAlsedà, LluísElena, Santiago F.We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organized around degenerate Bogdanov–Takens and zero-Hopf bifurcations, the latter of which gives rise to a curve of transcritical bifurcations of periodic orbits. These results provide new insights into the conditions by which viral populations may contain multiple coexisting strains in a stable manner.The research leading to these results has received funding from ‘la Caixa’ Foundation. This work has been also partially funded by the ‘María de Maeztu’ Programme for Units of Excellence in R&D (MDM-2014-0445), as well as from projects MTM2014-52209-C2-1-P and MTM2017-86795-C3-1-P from the Spanish MINECO, and from the CERCA Programme of the Generalitat de Catalunya. M.H. has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 707658. Work in València was supported by Spain’s Agencia Estatal de Investigación - FEDER grant no. BFU2015-65037-P to S.F.E. J.S. has been also funded by a ‘Ramón y Cajal’ Fellowship (RYC-2017-22243).Peer reviewedRoyal Society (Great Britain)Fundación la CaixaMinisterio de Economía y Competitividad (España)Generalitat de CatalunyaEuropean CommissionMinisterio de Ciencia, Innovación y Universidades (España)Agencia Estatal de Investigación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/220732reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2014-52209-C2-1-Pinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/MTM2017-86795-C3-1-PMTM2017-86795-C3-1-P/AEI/10.13039/501100011033info:eu-repo/grantAgreement/EC/H2020/707658info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/BFU2015-65037-PRYC-2017-22243/AEI/10.13039/501100011033info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RYC-2017-22243https://doi.org/10.1098/rsos.181179Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2207322026-05-22T06:33:51Z
dc.title.none.fl_str_mv Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
title Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
spellingShingle Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
Nurtay, Anel
title_short Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
title_full Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
title_fullStr Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
title_full_unstemmed Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
title_sort Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
dc.creator.none.fl_str_mv Nurtay, Anel
Hennessy, Matthew G.
Sardanyés, Josep
Alsedà, Lluís
Elena, Santiago F.
author Nurtay, Anel
author_facet Nurtay, Anel
Hennessy, Matthew G.
Sardanyés, Josep
Alsedà, Lluís
Elena, Santiago F.
author_role author
author2 Hennessy, Matthew G.
Sardanyés, Josep
Alsedà, Lluís
Elena, Santiago F.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Fundación la Caixa
Ministerio de Economía y Competitividad (España)
Generalitat de Catalunya
European Commission
Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organized around degenerate Bogdanov–Takens and zero-Hopf bifurcations, the latter of which gives rise to a curve of transcritical bifurcations of periodic orbits. These results provide new insights into the conditions by which viral populations may contain multiple coexisting strains in a stable manner.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
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info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/220732
url http://hdl.handle.net/10261/220732
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2014-52209-C2-1-P
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/MTM2017-86795-C3-1-P
MTM2017-86795-C3-1-P/AEI/10.13039/501100011033
info:eu-repo/grantAgreement/EC/H2020/707658
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/BFU2015-65037-P
RYC-2017-22243/AEI/10.13039/501100011033
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RYC-2017-22243
https://doi.org/10.1098/rsos.181179
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Royal Society (Great Britain)
publisher.none.fl_str_mv Royal Society (Great Britain)
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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