Robustness of behaviorally induced oscillations in epidemic models under a low rate of imported cases
dc.contributor.author
dc.date.accessioned
2020-12-03T07:31:56Z
dc.date.available
2020-12-03T07:31:57Z
dc.date.issued
2020-11-03
dc.identifier.issn
1539-3755
dc.identifier.uri
dc.description.abstract
This paper is concerned with the robustness of the sustained oscillations predicted by an epidemic ODE model defined on contact networks. The model incorporates the spread of awareness among individuals and, moreover, a small inflow of imported cases. These cases prevent stochastic extinctions when we simulate the epidemics and, hence, they allow to check whether the average dynamics for the fraction of infected individuals are accurately predicted by the ODE model. Stochastic simulations confirm the existence of sustained oscillations for different types of random networks, with a sharp transition from a nonoscillatory asymptotic regime to a periodic one as the alerting rate of susceptible individuals increases from very small values. This abrupt transition to periodic epidemics of high amplitude is quite accurately predicted by the Hopf-bifurcation curve computed from the ODE model using the alerting rate and the infection transmission rate for aware individuals as tuning parameters
dc.description.sponsorship
D.J. and D.R. have been partially supported by the Agencia
Estatal de Investigación and Ministerio de Ciencia, Innovación y Universidades Grant No. MTM2017-86795-C3-1-P,
and D.J. and J.S. have been partially supported by Grant No.
PID2019-104437GB-I00 of the Ministerio de Ciencia e Innovación of the Spanish government. D.J. and D.R. are members
of the Consolidated Research Group 2017 SGR 1617 funded
by AGAUR (Generalitat de Catalunya). J.S. is member of the
Consolidated Research Group 2017 SGR 01392 of AGAUR
(Generalitat de Catalunya)
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.relation
PID2019-104437GB-I00
dc.relation.isformatof
Reproducció digital del document publicat a: https://doi.org/10.1103/PhysRevE.102.052301
dc.relation.ispartof
© Physical Review E, 2020, vol. 102, núm. 5, art.núm.052301
dc.relation.ispartofseries
Articles publicats (D-IMAE)
dc.rights
Tots els drets reservats
dc.source
Juher, David Rojas Pérez, David Saldaña Meca, Joan 2020 Robustness of behaviorally induced oscillations in epidemic models under a low rate of imported cases Physical Review E 102 5 art.num.052301
dc.subject
dc.title
Robustness of behaviorally induced oscillations in epidemic models under a low rate of imported cases
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.relation.projectID
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104437GB-I00/ES/MODELIZACION MATEMATICA DE DINAMICAS DE EPIDEMIAS Y POBLACIONES ESTRUCTURADAS
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
032191
dc.contributor.funder
dc.type.peerreviewed
peer-reviewed
dc.relation.FundingProgramme
dc.relation.ProjectAcronym
dc.identifier.eissn
1550-2376