Epidemiology in complex networks - modified heterogeneous mean-field model

• Ano de defesa: 2018
• Autor(a) principal: Martorello, Cristiane Dias de Souza
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Modelo SIS; Networks; Rede livre de escala; Redes; Scale-free network; SIS model
• Link de acesso: http://www.teses.usp.br/teses/disponiveis/100/100132/tde-16012019-173906/

The study of complex networks presented a huge development in last decades. In this dissertation we want to analyze the epidemic spread in scale-free networks through the Susceptible - Infected - Susceptible (SIS) model. We review the fundamental concepts to describe complex networks and the classical epidemiological models. We implement an algorithm that produces a scale-free network and explore the Quenched Mean-Field (QMF) dynamics in a scale-free network. Moreover, we simulate a change on the topology of the network according to the states of the nodes, and it generates a positive epidemic threshold. We show analytically that the fraction of infected vertices follows a power-law distribution in the vicinity of this critical point