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Master's Dissertation
DOI
https://doi.org/10.11606/D.100.2019.tde-25112019-214255
Document
Author
Full name
Kyung Moo Kim
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Hase, Masayuki Oka (President)
Delgado, Karina Valdivia
Mata, Angélica Sousa da
Rodrigues Neto, Camilo
Title in Spanish
Algunos modelos epidemiológicos en grafos completos y redes complejas
Keywords in Spanish
Epidemiológia
Redes
Redes complexas
Abstract in Spanish
Las redes complejas están presentes en varias áreas de conocimiento y ayudan a modelar sistemas de varios agentes interagentes para investigar, por ejemplo, los fenómenos epidemiológicos. En este trabajo, analizamos modelos epidemiológicos clásicos, como el modelo susceptible - infectado - removido, conocido simplemente como modelo SIR, y el modelo susceptible - infectado - susceptible, o SIS, y una revisión de estos modelos en los grafos completos. También denimos y estudiamos el modelo SIS en una red de escala libre, estudiando el umbral epidemiológico y el análisis de estabilidad en campo medio heterogéneo (HMF) y quenched (QMF). Un punto importante de este trabajo es la propuesta de modicaciones en los modelos HMF y QMF en que los contactos con los vértices infectados son debilitados
Title in English
Some epidemic models on complete graphs and complex networks
Keywords in English
Complex networks
Epidemiology
Networks
Abstract in English
Complex networks are present in many areas of knowledge and help us to model systems with many interacting agents to investigate, for example, the epidemiological phenomena. In this work, we analyze classic epidemiological models, such as the susceptible - infected removed model, known simply as the SIR model, and the susceptible - infected - susceptible model, or SIS, and we review these models dened on complete graphs. We also dened and studied the SIS model on a scale-free network, studying the epidemiological threshold and stability analysis in the heterogeneous mean eld (HMF) and quenched mean eld models (QMF). An important point of this work is the proposal of modications in the HMF and QMF models where the contact of the infected vertices are weakened
 
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KyungMooKim.pdf (2.09 Mbytes)
Publishing Date
2019-12-02
 
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