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Título del libro: Program And Abstract Book - 2010 7th International Conference On Electrical Engineering, Computing Science And Automatic Control, Cce 2010
Título del capítulo: Mathematical modelling of arbovirus diseases

Autores UNAM:
MARIA DE LOURDES ESTEVA PERALTA; GUSTAVO CRUZ PACHECO;
Autores externos:

Idioma:
Inglés
Año de publicación:
2010
Palabras clave:

Arbovirus diseases; Basic reproductive number; Control measures; Endemic equilibrium; Equilibrium points; Existence and stability; Initial conditions; Mathematical modelling; Stiff differential equations; System of differential equations; Threshold condition; West Nile Virus; Automation; Control; Differential equations; Electrical engineering; Mammals; Pest control; Process control; Viruses; Mosquito control


Resumen:

Arbovirus constitutes a group of virus that is transmitted by arthropod's bites. Examples of diseases produced by this kind of virus are Dengue, Yellow Fever, and West Nile Virus, among others. These desases are a major health problem in the world. In this work we formulate a system of differential equations to study the dynamics of an infection produced by arbovirus. For this, we consider the population of host (humans, birds, mammals, etc.), and vectors (mosquitoes, ticks, etc.) The aim of this study is to understand and predict the formation of outbreaks from a variety of initial conditions. Control measures of the mosquito population are discussed in terms of threshold conditions, which govern the existence and stability of the endemic equilibrium. © 2010 IEEE.


Entidades citadas de la UNAM: