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Master's Dissertation
DOI
10.11606/D.100.2015.tde-04052015-091411
Document
Author
Full name
Frank Moshé Cotacallapa Choque
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2015
Supervisor
Committee
Hase, Masayuki Oka (President)
Mendonca, Jose Ricardo Goncalves de
Quiles, Marcos Gonçalves
Title in Portuguese
Modelos de propagação de epidemias em redes complexas
Keywords in Portuguese
Epidemia
Equação mestra
Redes complexas
Abstract in Portuguese
A pesquisa na area de redes complexas tem evoluido bastante, e e nesta linha que o presente trabalho visa aportar, dando enfase especial no processo epidemico sobre redes. Desse modo, foi feito uma analise geral das redes complexas em conjunto com suas propriedades. Apos isso, desenvolveu-se o processo de contagio da epidemia do tipo suscetivel-infectado sobre uma rede aleatoria uniforme e sobre uma rede aleatoria com ligacoes preferenciais. Ambas abordagens foram desenvolvidas usando equacoes mestras para finalmente fazer sua analise com metodos analiticos e computacionais.
Title in English
Propagation models of epidemics on complex networks
Keywords in English
Complex networks
Epidemics
Master equations
Abstract in English
Research in the area of complex networks has evolved greatly, and over this line that this present work aims to contribute, with particular emphasis on the epidemic process over networks. Along these lines, a general review about complex networks is made with their main properties. After that, a susceptible-infected contagion process is developed over a uniform random network and a preferential attachment network. Both approaches were developed using master equations to finally analyze them with analytical and computatio- nal methods.
 
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fmoshecorrigida.pdf (17.94 Mbytes)
Publishing Date
2015-06-17
 
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