Banca de DEFESA: DAVID SANTANA MARQUES ALENCAR

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE: DAVID SANTANA MARQUES ALENCAR
DATA: 15/02/2021
HORA: 09:00
LOCAL: Remota - Plataforma Google Meet
TÍTULO: Modelo Suscetível-Infectado-Removido Em Triangulação de Voronoi-Delaunay Bidimensional
PALAVRAS-CHAVES: Modelo SIR (Susceptível-Infectado-Removido), Monte Carlo Cinético, Triangulações de Voronoi-Delaunay, Percolação Dinâmica, Teoria de Campo Médio, Reação- Difusão
PÁGINAS: 121
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
RESUMO:

Epidemiological outbreaks in the asynchronous SIR (susceptible-
infected-removed) model and their spreading in the square lattice and in the
Voronoi-Delaunay triangulation were studied using Monte Carlo simulations.
The distribution of clusters (removed sites) at steady state was done using the
Newman-Ziff algorithm in order to map the problem in a percolation conjecture.
The observables measured with percolation analog were the order parameter,
susceptibility and Binder cumulant to estimate the critical point. As rates of
infection and cure were regulated, the system in both lattices presents a
transition from an epidemic (active) to an endemic (absorbing) phase. Along the
same lines of thought, the exponents found necessarily found that the model in
both cases belongs to the dynamic percolation universality class, indicating that

the Delaunay triangulation is not altered due to quenched disorder. In a first
principles approach, the problem was also investigated by
mean-field theory as a way of estimating an epidemiological spread in a
branching process by reaction-diffusion.

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MEMBROS DA BANCA:
Externo à Instituição - ANTONIO DE MACEDO FILHO - UESPI
Interno - 1446938 - FRANCISCO WELINGTON DE SOUSA LIMA
Externo à Instituição - GLADSTONE DE ALENCAR ALVES - UESPI
Presidente - 1650556 - TAYRONI FRANCISCO DE ALENCAR ALVES