RT journal article T1 A SIR-based model for contact-based messaging applications supported by permanent infrastructure A1 Conejero, J.A. A1 Hernández-Orallo, Enrique A1 Murillo Arcila, Marina A1 Manzoni, Pietro A2 Matemáticas K1 SIR models K1 PDEs in connection with computer science K1 mobile networking in proximity K1 contact-based messaging K1 dynamical systems K1 epidemic diffusion AB In this paper we focus on the study of coupled systems of ordinary differential equations (ODE's) 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. PB AIMS SN 1937-1179 YR 2019 FD 2019 LK http://hdl.handle.net/10498/35391 UL http://hdl.handle.net/10498/35391 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026