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Estudio del comportamiento asintótico de un modelo en epidemiología

Opened Access Estudio del comportamiento asintótico de un modelo en epidemiología
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Autor: Minuesa Abril, María José
Director: Caraballo Garrido, Tomás
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2017-06
Tipo de documento: Trabajo Fin de Grado
Titulación: Universidad de Sevilla. Grado en Matemáticas
Resumen: Nowadays, mathematical models are one of the most popular tools to study epidemics due to the fact that they enable to analyze and simulate the incidence, spread, persistence or control of infectious diseases. Within an epidemiological framework, the aim of the present work is to study deterministic SIR models. These models are suitable for the description of infectious diseases with relatively short periods of infection and immune response. Instead of analyzing the behaviour of each single individual, these models are based on the classification of the individuals of the population into three classes (Susceptible, Infectious and Recovered) and they describe the dynamics among these three classes through a system with three differential equations. In particular, in this work we consider two situations: the first and simplest case, in which the population size is constant and is modelled by an autonomous differential system, and the second and more complex one, in which the total numb...
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Tamaño: 1.155Mb
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