Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos

In this work, we have investigated the evolutionary dynamics of a generalist pathogen, e.g., a virus population, that evolves toward specialization in an environment with multiple host types. We have particularly explored under which conditions generalist viral strains may rise in frequency and coex...

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Detalles Bibliográficos
Autores: Nurtay, A., Hennessy, M.G., Alsedà, L., Elena, S.F., Sardanyés, J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/530690
Acceso en línea:http://hdl.handle.net/2072/530690
Access Level:acceso abierto
Palabra clave:Biologia
Matemàtiques
57
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spelling Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaosNurtay, A.Hennessy, M.G.Alsedà, L.Elena, S.F.Sardanyés, J.BiologiaMatemàtiques57In this work, we have investigated the evolutionary dynamics of a generalist pathogen, e.g., a virus population, that evolves toward specialization in an environment with multiple host types. We have particularly explored under which conditions generalist viral strains may rise in frequency and coexist with specialist strains or even dominate the population. By means of a nonlinear mathematical model and bifurcation analysis, we have determined the theoretical conditions for stability of nine identified equilibria and provided biological interpretation in terms of the infection rates for the viral specialist and generalist strains. By means of a stability diagram, we identified stable fixed points and stable periodic orbits, as well as regions of bistability. For arbitrary biologically feasible initial population sizes, the probability of evolving toward stable solutions is obtained for each point of the analyzed parameter space. This probability map shows combinations of infection rates of the generalist and specialist strains that might lead to equal chances for each type becoming the dominant strategy. Furthermore, we have identified infection rates for which the model predicts the onset of chaotic dynamics. Several degenerate Bogdanov–Takens and zero-Hopf bifurcations are detected along with generalized Hopf and zero-Hopf bifurcations. This manuscript provides additional insights into the dynamical complexity of host–pathogen evolution toward different infection strategies.American Institute of Physics2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion19 p.application/pdfhttp://hdl.handle.net/2072/530690RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésChaosL'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/5306902026-05-29T05:05:01Z
dc.title.none.fl_str_mv Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
title Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
spellingShingle Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
Nurtay, A.
Biologia
Matemàtiques
57
title_short Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
title_full Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
title_fullStr Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
title_full_unstemmed Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
title_sort Host-virus evolutionary dynamics with specialist and generalist infection strategies: Bifurcations, bistability, and chaos
dc.creator.none.fl_str_mv Nurtay, A.
Hennessy, M.G.
Alsedà, L.
Elena, S.F.
Sardanyés, J.
author Nurtay, A.
author_facet Nurtay, A.
Hennessy, M.G.
Alsedà, L.
Elena, S.F.
Sardanyés, J.
author_role author
author2 Hennessy, M.G.
Alsedà, L.
Elena, S.F.
Sardanyés, J.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Biologia
Matemàtiques
57
topic Biologia
Matemàtiques
57
description In this work, we have investigated the evolutionary dynamics of a generalist pathogen, e.g., a virus population, that evolves toward specialization in an environment with multiple host types. We have particularly explored under which conditions generalist viral strains may rise in frequency and coexist with specialist strains or even dominate the population. By means of a nonlinear mathematical model and bifurcation analysis, we have determined the theoretical conditions for stability of nine identified equilibria and provided biological interpretation in terms of the infection rates for the viral specialist and generalist strains. By means of a stability diagram, we identified stable fixed points and stable periodic orbits, as well as regions of bistability. For arbitrary biologically feasible initial population sizes, the probability of evolving toward stable solutions is obtained for each point of the analyzed parameter space. This probability map shows combinations of infection rates of the generalist and specialist strains that might lead to equal chances for each type becoming the dominant strategy. Furthermore, we have identified infection rates for which the model predicts the onset of chaotic dynamics. Several degenerate Bogdanov–Takens and zero-Hopf bifurcations are detected along with generalized Hopf and zero-Hopf bifurcations. This manuscript provides additional insights into the dynamical complexity of host–pathogen evolution toward different infection strategies.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/530690
url http://hdl.handle.net/2072/530690
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Chaos
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 19 p.
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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