Banca de QUALIFICAÇÃO: DAVID SANTANA MARQUES ALENCAR

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
DISCENTE: DAVID SANTANA MARQUES ALENCAR
DATA: 24/02/2023
HORA: 16:00
LOCAL: online
TÍTULO: Epidemic Outbreaks on Quenched Scale-Free Networks
PALAVRAS-CHAVES: Uncorrelated Configuration Model; Epidemic processes; Dynamic Percolation; Continuous phase transition; Logarithmic corrections; External field.
PÁGINAS: 34
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

We present a finite-size scaling theory of asynchronous susceptible-infected-
removed model on scale-free networks, which models epidemic outbreaks, and presents a non-
vanishing critical threshold. The susceptible-infected-removed model can be mapped in a bond
percolation process, allowing us to compare the critical behavior of site and bond universality
classes on networks. We employ a droplet heterogeneous mean-field theory, where we add the
effect of an external field defined as the initial number of infected individuals, scaling as N -1 and
compare theoretical results with simulations on the uncorrelated model and Barabasi-Albert
networks.The system presents an epidemic-endemic phase transition where the critical
behavior obeys the mean-field universality class, as we show theoretically and by simulations.

MEMBROS DA BANCA:
Presidente - 1650556 - TAYRONI FRANCISCO DE ALENCAR ALVES
Interno - 1446938 - FRANCISCO WELINGTON DE SOUSA LIMA
Externo ao Programa - 936.968.503-06 - GLADSTONE DE ALENCAR ALVES - UESPI
Externo à Instituição - RONAN SILVA FERREIRA - UFOP