Localization in spreading processes on complex networks

• Grant number: 21/00369-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2021
• End date: June 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Diogo Henrique da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

Many systems such as protein-protein interactions, power-grid, flights and social interactions in the microblogging Twitter can be represented by complex networks considering that each element is a node and their interactions establish edges connecting them. The flow of people, goods, and information highlights the relevance of spreading processes on the top of complex networks. In social networks, small groups of users are capable of spreading a rumor in social medias achieving users which are not their followers, increasing their social engagement. Epidemics such as Ebola, which has a favorable environment in West Africa, can become global by hosts moving around the world. Thus, localization plays an important role in spreading processes. The connection between complex networks properties and localization would provide tools required to prevent the transition of local to global outbreaks. Here, we propose a broad study of localization and its effects in spreading processes on complex networks. Models are applied to mimic the main features of the spreading processes and real networks. Finally, we expect to develop a benchmark mechanism to identify and study localization in spreading processes on complex networks. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SILVA, DIOGO H.; ANTENEODO, CELIA; FERREIRA, SILVIO C.. Epidemic outbreaks with adaptive prevention on complex networks. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 116, p. 12-pg., 2023-01-01. (21/00369-0, 13/07375-0)

SILVA, JOSE CARLOS M.; SILVA, DIOGO H.; RODRIGUES, FRANCISCO A.; FERREIRA, SILVIO C.. Consequences of non-Markovian healing processes on epidemic models with recurrent infections on networks. NEW JOURNAL OF PHYSICS, v. 27, n. 1, p. 15-pg., 2025-01-01. (19/23293-0, 21/00369-0, 13/07375-0)

SILVA, DIOGO H.; RODRIGUES, FRANCISCO A.; FERREIRA, SILVIO C.. Accuracy of discrete- and continuous-time mean-field theories for epidemic processes on complex networks. PHYSICAL REVIEW E, v. 110, n. 1, p. 9-pg., 2024-07-17. (21/00369-0, 19/23293-0, 13/07375-0)

SILVA, JOSE CARLOS M.; SILVA, DIOGO H.; RODRIGUES, FRANCISCO A.; FERREIRA, SILVIO C.. Comparison of theoretical approaches for epidemic processes with waning immunity in complex networks. PHYSICAL REVIEW E, v. 106, n. 3, p. 9-pg., 2022-09-22. (21/00369-0, 13/07375-0, 19/23293-0)