Cozzo, EmanueleHernàndez Tey, Joan2024-10-082024-10-082024-06https://hdl.handle.net/2445/215617Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutor: Emanuele CozzoIn this paper, we study regime transitions on a general epidemiclike social contagion model on a multiplex system. We first examine layer-localisation to delocalisation transition analysing the inverse participation ratio (IPR) for the different layers of the system. In addition, we develop a perturbation analysis to obtain a new analytical approximation for the transition point and an expression for the non dominant layer IPR on the localised regime. Furthermore, we study a nondominant to dominant regime transition and obtain an analytical expression for the transition point on a random regular network and an approximation for an Erd¨os-Renyi network. We further analyse this transitions with dynamical simulations using a Quasi-stationary algorithm5 p.application/pdfengcc-by-nc-nd (c) Hernàndez, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/Sistemes complexosXarxes socialsPertorbacióTreballs de fi de grauComplex systemsSocial networksPerturbationBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess