Conejero, JA.; Hernández-Orallo, E.; Manzoni, P.; Murillo-Arcila, M. (2019). A SIR-based model for contact-based messaging applications supported by permanent infrastructure. Discrete and Continuous Dynamical Systems. Series S. 12(4-5):735-746. https://doi.org/10.3934/dcdss.2019048
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/155694
Title:
|
A SIR-based model for contact-based messaging applications supported by permanent infrastructure
|
Author:
|
Conejero, J. Alberto
Hernández-Orallo, Enrique
Manzoni, Pietro
Murillo-Arcila, Marina
|
UPV Unit:
|
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Departamento de Informática de Sistemas y Computadores - Departament d'Informàtica de Sistemes i Computadors
|
Issued date:
|
|
Abstract:
|
[EN] In this paper, we focus on the study of coupled systems of ordinary differential equations (ODEs) describing the diffusion of messages between mobile devices. Communications in mobile opportunistic networks take place ...[+]
[EN] In this paper, we focus on the study of coupled systems of ordinary differential equations (ODEs) describing the diffusion of messages between mobile devices. Communications in mobile opportunistic networks take place upon the establishment of ephemeral contacts among mobile nodes using direct communication. SIR (Sane, Infected, Recovered) models permit to represent the diffusion of messages using an epidemiological based approach.
The question we analyse in this work is whether the coexistence of a fixed infrastructure can improve the diffusion of messages and thus justify the additional costs. We analyse this case from the point of view of dynamical systems, finding and characterising the admissible equilibrium of this scenario. We show that a centralised diffusion is not efficient when people density reaches a sufficient value.
This result supports the interest in developing opportunistic networks for occasionally crowded places to avoid the cost of additional infrastructure.
[-]
|
Subjects:
|
SIR models
,
PDEs in connection with computer science
,
Mobile networking in proximity
,
Contact-based messaging
,
Dynamical systems
,
Epidemic diffusion
|
Copyrigths:
|
Reserva de todos los derechos
|
Source:
|
Discrete and Continuous Dynamical Systems. Series S. (issn:
1937-1632
)
|
DOI:
|
10.3934/dcdss.2019048
|
Publisher:
|
American Institute of Mathematical Sciences
|
Publisher version:
|
https://doi.org/10.3934/dcdss.2019048
|
Project ID:
|
info:eu-repo/grantAgreement/MINECO//SEV-2013-0323/ES/-/
...[+]
info:eu-repo/grantAgreement/MINECO//SEV-2013-0323/ES/-/
info:eu-repo/grantAgreement/GVA//GV%2F2018%2F110/
info:eu-repo/grantAgreement/GVA//AICO%2F2015%2F108/
info:eu-repo/grantAgreement/MINECO//TEC2014-52690-R/ES/INTEGRACION DEL SMARTPHONE Y EL VEHICULO PARA CONECTAR CONDUCTORES, SENSORES Y ENTORNO A TRAVES DE UNA ARQUITECTURA DE SERVICIOS FUNCIONALES/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F005/
info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/
[-]
|
Thanks:
|
This work was partially supported by Ministerio de Economia y Competitividad, Spain (Grants TEC2014-52690-R, MTM2016-75963-P & BCAM Severo
Ochoa excellence accreditation SEV-2013-0323), Generalitat Valenciana, Spain
(Grants ...[+]
This work was partially supported by Ministerio de Economia y Competitividad, Spain (Grants TEC2014-52690-R, MTM2016-75963-P & BCAM Severo
Ochoa excellence accreditation SEV-2013-0323), Generalitat Valenciana, Spain
(Grants AICO/2015/108, ACOMP/2015/005, GVA/2018/110), by the Basque
Government through the BERC 2014-2017.
[-]
|
Type:
|
Artículo
|