Evolutionary suicide through a non-catastrophic bifurcation : adaptive dynamics of pathogens with frequency-dependent transmission

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dc.contributor.author Boldin, Barbara
dc.contributor.author Kisdi, Eva
dc.date.accessioned 2017-01-17T12:58:03Z
dc.date.available 2017-01-17T12:58:03Z
dc.date.issued 2016-03
dc.identifier.citation Boldin , B & Kisdi , E 2016 , ' Evolutionary suicide through a non-catastrophic bifurcation : adaptive dynamics of pathogens with frequency-dependent transmission ' , Journal of mathematical biology , vol. 72 , no. 4 , pp. 1101-1124 . https://doi.org/10.1007/s00285-015-0945-5
dc.identifier.other PURE: 60954809
dc.identifier.other PURE UUID: 79e9a4d9-3cc5-44fe-adc0-4b4287e3f785
dc.identifier.other WOS: 000370269200013
dc.identifier.other Scopus: 84958119612
dc.identifier.other ORCID: /0000-0002-7096-4222/work/29719101
dc.identifier.uri http://hdl.handle.net/10138/173651
dc.description.abstract Evolutionary suicide is a riveting phenomenon in which adaptive evolution drives a viable population to extinction. Gyllenberg and Parvinen (Bull Math Biol 63(5):981-993, 2001) showed that, in a wide class of deterministic population models, a discontinuous transition to extinction is a necessary condition for evolutionary suicide. An implicit assumption of their proof is that the invasion fitness of a rare strategy is well-defined also in the extinction state of the population. Epidemic models with frequency-dependent incidence, which are often used to model the spread of sexually transmitted infections or the dynamics of infectious diseases within herds, violate this assumption. In these models, evolutionary suicide can occur through a non-catastrophic bifurcation whereby pathogen adaptation leads to a continuous decline of host (and consequently pathogen) population size to zero. Evolutionary suicide of pathogens with frequency-dependent transmission can occur in two ways, with pathogen strains evolving either higher or lower virulence. en
dc.format.extent 24
dc.language.iso eng
dc.relation.ispartof Journal of mathematical biology
dc.rights.uri info:eu-repo/semantics/openAccess
dc.subject Adaptive dynamics
dc.subject Evolutionary suicide
dc.subject Non-catastrophic bifurcation
dc.subject Transcritical bifurcation
dc.subject Extinction
dc.subject Virulence
dc.subject Frequency-dependent incidence
dc.subject DISEASE TRANSMISSION
dc.subject SELF-EXTINCTION
dc.subject TRADE-OFF
dc.subject COEXISTENCE
dc.subject POPULATION
dc.subject HOST
dc.subject ADAPTATION
dc.subject VIRULENCE
dc.subject PARASITES
dc.subject TRAGEDY
dc.subject 111 Mathematics
dc.subject 1181 Ecology, evolutionary biology
dc.title Evolutionary suicide through a non-catastrophic bifurcation : adaptive dynamics of pathogens with frequency-dependent transmission en
dc.type Article
dc.contributor.organization Department of Mathematics and Statistics
dc.description.reviewstatus Peer reviewed
dc.relation.doi https://doi.org/10.1007/s00285-015-0945-5
dc.relation.issn 0303-6812
dc.rights.accesslevel openAccess
dc.type.version acceptedVersion

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