Analysis of an epidemic model with awareness decay on regular random networks
dc.contributor.author
dc.date.accessioned
2015-10-13T07:07:47Z
dc.date.available
2015-10-13T07:07:47Z
dc.date.issued
2015-01-21
dc.identifier.issn
0022-5193
dc.identifier.uri
dc.description.abstract
The existence of a die-out threshold (different from the classic disease-invasion one) defining a region of slow extinction of an epidemic has been proved elsewhere for susceptible-aware-infectious-susceptible models without awareness decay, through bifurcation analysis. By means of an equivalent mean-field model defined on regular random networks, we interpret the dynamics of the system in this region and prove that the existence of bifurcation for this second epidemic threshold crucially depends on the absence of awareness decay. We show that the continuum of equilibria that characterizes the slow die-out dynamics collapses into a unique equilibrium when a constant rate of awareness decay is assumed, no matter how small, and that the resulting bifurcation from the disease-free equilibrium is equivalent to that of standard epidemic models. We illustrate these findings with continuous-time stochastic simulations on regular random networks with different degrees. Finally, the behaviour of solutions with and without decay in awareness is compared around the second epidemic threshold for a small rate of awareness decay
dc.description.sponsorship
This work has been partially supported by the Research Grant MTM2011-27739-C04-03 of the Spanish Government (D.J. and J.S.), the Project 2009-SGR-345 (J.S.) of the Generalitat de Catalunya, and IMA Collaborative Grant (SGS01/13), UK (I.K. and J.S.)
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
AGAUR/2009-2013/2014 SGR-345
dc.relation.isformatof
Versió preprint del document publicat a: http://dx.doi.org/10.1016/j.jtbi.2014.10.013
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© Journal of Theoretical Biology, 2015, vol. 365, p. 457-468
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Articles publicats (D-IMA)
dc.rights
Tots els drets reservats
dc.subject
dc.title
Analysis of an epidemic model with awareness decay on regular random networks
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
023568
dc.contributor.funder
dc.relation.ProjectAcronym
dc.identifier.eissn
1095-8541