75620 20191127155458.0 doi 10.1093/comnet/cnx024 sideral 105221 ART-2018-105221 eng de Arruda, G.F. A general Markov chain approach for disease and rumour spreading in complex networks 2018 Access copy available to the general public Unrestricted Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumour spreading are among the most important of these processes due to their practical relevance. However, despite the similarities between them, current models address both spreading dynamics separately. In this article, we propose a general spreading model that is based on discrete time Markov chains. The model includes all the transitions that are plausible for both a disease contagion process and rumour propagation. We show that our model not only covers the traditional spreading schemes but that it also contains some features relevant in social dynamics, such as apathy, forgetting, and lost/recovering of interest. The model is evaluated analytically to obtain the spreading thresholds and the early time dynamical behaviour for the contact and reactive processes in several scenarios. Comparison with Monte Carlo simulations shows that the Markov chain formalism is highly accurate while it excels in computational efficiency. We round off our work by showing how the proposed framework can be applied to the study of spreading processes occurring on social networks. info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-P info:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEX info:eu-repo/grantAgreement/ES/DGA/FENOL-GROUP info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.608 2018 Applied Mathematics 2018 Q1 Computational Mathematics 2018 Q1 Management Science and Operations Research 2018 Q1 Control and Optimization 2018 Q1 Computer Networks and Communications 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Rodrigues, F.A. Rodriguez, P.M. (orcid)0000-0002-5655-1587 Cozzo, E. (orcid)0000-0002-0895-1893 Moreno, Y. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 6, 2 (2018), 215-242 J. complex. netw JOURNAL OF COMPLEX NETWORKS 2051-1310 1434706 http://zaguan.unizar.es/record/75620/files/texto_completo.pdf Versión publicada 69915 http://zaguan.unizar.es/record/75620/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:75620 articulos driver 2019-11-27-15:48:40 ARTICLE