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Ministerio de EconomÃa y Competitividad (Espanya)  
Britton, Tom
Juher, David SaldaÃ±a Meca, Joan 

Un erratum dâ€™aquest article sâ€™ha publicat a â€™Bulletin of Mathematical Biologyâ€™, 2017, vol. 79, nÃºm. 7, p. 16871689.
DOI https://doi.org/10.1007/s1153801702950 o tambÃ© estÃ disponible al DUGiDocs a http://hdl.handle.net/10256/14329 This paper is concerned with stochastic SIR and SEIR epidemic models on random networks in which individuals may rewire away from infected neighbors at some rate Ï‰Ï‰ (and reconnect to noninfectious individuals with probability Î±Î± or else simply drop the edge if Î±=0Î±=0 ), socalled preventive rewiring. The models are denoted SIR Ï‰Ï‰ and SEIR Ï‰Ï‰ , and we focus attention on the early stages of an outbreak, where we derive the expressions for the basic reproduction number R0R0 and the expected degree of the infectious nodes E(DI)E(DI) using two different approximation approaches. The first approach approximates the early spread of an epidemic by a branching process, whereas the second one uses pair approximation. The expressions are compared with the corresponding empirical means obtained from stochastic simulations of SIR Ï‰Ï‰ and SEIR Ï‰Ï‰ epidemics on Poisson and scalefree networks. Without rewiring of exposed nodes, the two approaches predict the same epidemic threshold and the same E(DI)E(DI) for both types of epidemics, the latter being very close to the mean degree obtained from simulated epidemics over Poisson networks. Above the epidemic threshold, pairwise models overestimate the value of R0R0 computed from simulations, which turns out to be very close to the one predicted by the branching process approximation. When exposed individuals also rewire with Î±>0Î±>0 (perhaps unaware of being infected), the two approaches give different epidemic thresholds, with the branching process approximation being more in agreement with simulations. 

application/pdf  
info:eurepo/semantics/reference/hdl/10256/14329  
http://hdl.handle.net/10256/13174  
eng  
Society for Mathematical Biology  
info:eurepo/semantics/altIdentifier/doi/10.1007/s1153801602274 info:eurepo/semantics/altIdentifier/issn/00928240 info:eurepo/semantics/altIdentifier/eissn/15229602 

info:eurepo/grantAgreement/MINECO//MTM201452402C33P/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/  
Tots els drets reservats  
EpidÃ¨mies  Models matemÃ tics
Epidemics  Mathematical models Processos de ramificaciÃ³ Branching processes Processos estocÃ stics Stochastic processes 

A network epidemic model with preventive rewiring: comparative analysis of the initial phase  
info:eurepo/semantics/article  
DUGiDocs 