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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2015.tde-03072015-181542
Document
Author
Full name
Alexander Hideki Oniwa Wada
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2015
Supervisor
Committee
Oliveira, Mario Jose de (President)
Landi, Gabriel Teixeira
Santos, Carlos Eduardo Fiore dos
Title in Portuguese
Simulações numéricas da percolação dinâmica
Keywords in Portuguese
Expoentes Críticos
Percolação Dinâmica
Propagação de Epidemia
Abstract in Portuguese
Estudamos o modelo epidemiológico denominado susceptível-exposto-infectado (SEI) na rede quadrada por meio de simulações numéricas. Nesse modelo, cada sítio da rede pode estar susceptível, exposto ou infectado. Um sítio susceptível nas vizinhanças de um infectado se torna infectado com uma certa probabilidade e exposto com probabilidade complementar. Sítios infectados ou expostos permanecem para sempre nessa condição. Mostramos que os aglomerados gerados a partir de um único infectado numa rede repleta de suscetíveis são os mesmos aglomerados presentes na percolação isotrópica. Calculamos os expoentes críticos dinâmicos com bastante precisão permitindo colocar o modelo SEI na classe de universalidade da percolação dinâmica.
Title in English
Simulations of Dynamical Percolation
Keywords in English
Critical Exponents
Dynamical Percolation
Epidemic Propagation
Abstract in English
We have studied the epidemiologic model called susceptible-exposed-infected (SEI) on a square lattice by numerical simulations. In this model, each site of the lattice may be susceptible, exposed or infected. A susceptible site in the neighborhood of an infected site becomes infected with a given probability, or exposed with a complementary probability. Infected and exposed sites remain forever in these states. We have shown that clusters generated by a single infected site in a lattice full of susceptible are the same clusters as in the isotropic percolation. The critical dynamic exponents were calculated with large precision allowing to put the SEI model into the dynamical percolation universality class.
 
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Publishing Date
2015-07-14
 
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