Author, as appears in the article.: Arenas, Alex; Garijo, Antonio; Gomez, Sergio; Villadelprat, Jordi
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro / Garijo Real, Antonio / Gómez Jiménez, Sergio / Villadelprat Yagüe, Jordi
Project code: PID2020-118281GB-C33
Keywords: Transcritical bifurcation Epidemic spreading Discrete-map Complex networks Complex immunization epidemic spreading discrete-map complex networks
Abstract: The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence of infected individuals to an endemic state. Here, we study this transition, from the perspective of dynamical systems, for a discrete-time compartmental epidemic model known as Microscopic Markov Chain Approach, whose applicability for forecasting future scenarios of epidemic spreading has been proved very useful during the COVID-19 pandemic. We show that there is an endemic state which is stable and a global attractor and that its existence is a consequence of a transcritical bifurcation. This mathematical analysis grounds the results of the model in practical applications.
Thematic Areas: Statistical and nonlinear physics Química Physics, multidisciplinary Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Physics Mathematics, interdisciplinary applications Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematical physics Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy General mathematics Engenharias iv Engenharias iii Engenharias ii Engenharias i Economia Direito Ciências biológicas ii Ciências biológicas i Ciência da computação Astronomia / física Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: sergio.gomez@urv.cat antonio.garijo@urv.cat alexandre.arenas@urv.cat
Author identifier: 0000-0003-1820-0062 0000-0002-1503-7514 0000-0003-0937-0334
Record's date: 2024-08-03
Paper version: info:eu-repo/semantics/acceptedVersion
Funding program: Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos
Paper original source: Chaos Solitons & Fractals. 166 112921-
APA: Arenas, Alex; Garijo, Antonio; Gomez, Sergio; Villadelprat, Jordi (2023). Bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading in networks. Chaos Solitons & Fractals, 166(), 112921-. DOI: 10.1016/j.chaos.2022.112921
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Acronym: ATBiD
Entity: Universitat Rovira i Virgili
Journal publication year: 2023
Funding program action: Proyectos I+D Generación de Conocimiento
Publication Type: Journal Publications
Repositori URV