Single and coupled dynamics in multiplex populations

• Grant number: 19/11183-5
• Support type: Scholarships abroad - Research Internship - Doctorate
• Effective date (Start): September 05, 2019
• Effective date (End): September 04, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Francisco Aparecido Rodrigues
• Grantee: Paulo Cesar Ventura da Silva
• Supervisor abroad: Yamir Moreno Vega
• Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Local de pesquisa : Universidad de Zaragoza, Spain
• Associated to the scholarship: 16/24555-0 - Propagation of information in multilayer networks, BP.DR

Abstract

Spreading phenomena in real world often occur in systems that have multiple types of connections, each one with its own structure. Such feature can be captured with the use of multiplex networks, which have been intensely used to support epidemic and rumor models. We propose to enhance the understanding of spreading processes in multiplex environments by two research proposals, using single and multiple dynamics. First, the study of interacting diseases in the asymmetrical case, which is not yet well understood. We propose to include a flexible time scale parameter, which we already showed to highlight important features of epidemics with awareness. Second, the study of spreading phenomena with multiple routes, represented by a layer of fixed graph and a layer of agents moving in space. Previous works with multiple routes and mobile agents suggest that combining both features may generate interesting new phenomena. Research will be performed using heterogeneous mean-field theory, discrete and continuous-time stochastic simulations and Markov chains. The academic gains will be important for both the candidate's PhD project and for the understanding of spreading phenomena in populations with various types of interactions.