Author, as appears in the article.: Zhou, Jiaying; Ye, Yong; Arenas, Alex; Gomez, Sergio; Zhao, Yi
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
Keywords: Time-fractional order Spatiotemporal pattern Delay Average degree
Abstract: The spontaneous emergence of ordered structures, known as Turing patterns, in complex networks is a phenomenon that holds potential applications across diverse scientific fields, including biology, chemistry, and physics. Here, we present a novel delayed fractional-order susceptible–infected–recovered–susceptible (SIRS) reaction–diffusion model functioning on a network, which is typically used to simulate disease transmission but can also model rumor propagation in social contexts. Our theoretical analysis establishes the Turing instability resulting from delay, and we support our conclusions through numerical experiments. We identify the unique impacts of delay, average network degree, and diffusion rate on pattern formation. The primary outcomes of our study are: (i) Delays cause system instability, mainly evidenced by periodic temporal fluctuations; (ii) The average network degree produces periodic oscillatory states in uneven spatial distributions; (iii) The combined influence of diffusion rate and delay results in irregular oscillations in both time and space. However, we also find that fractional-order can suppress the formation of spatiotemporal patterns. These findings are crucial for comprehending the impact of network structure on the dynamics of fractional-order systems.
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 alexandre.arenas@urv.cat
Author identifier: 0000-0003-1820-0062 0000-0003-0937-0334
Record's date: 2024-09-28
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.sciencedirect.com/science/article/pii/S0960077923007063
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Chaos Solitons & Fractals. 174 113805-
APA: Zhou, Jiaying; Ye, Yong; Arenas, Alex; Gomez, Sergio; Zhao, Yi (2023). Pattern formation and bifurcation analysis of delay induced fractional-order epidemic spreading on networks. Chaos Solitons & Fractals, 174(), 113805-. DOI: 10.1016/j.chaos.2023.113805
Article's DOI: 10.1016/j.chaos.2023.113805
Entity: Universitat Rovira i Virgili
Journal publication year: 2023
Publication Type: Journal Publications