Stochastic Study using Markov chains for the Transmission of Dengue

 

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Detalles Bibliográficos
Autores: Delgado-Moya, Erick Manuel, Marrero-Severo, Aymee
Formato: artículo original
Estado:Versión publicada
Fecha de Publicación:2018
Descripción:Dengue is a viral disease transmitted to humans by bites of the Aedes aegypti mosquito which can lead to different stages of the disease. Dengue has now widely spread in the world and affects millions of people. In this paper, we present a study based on the transition matrix of a homogeneous Markov chain, in which its states coincide with the possible stages a person goes through in the transmission dynamics of Dengue, and the behavior of the entities is observed over time. The paper also proposes a control strategy based on the transcendental probability weight incorporated in the matrix to reduce the impact of the epidemic on the society. The success of the model Markov proposed is that it is complex enough to describe certain nontrivial features of some systems; but, at the same time, it is simple to be analyzed mathematically.
País:Portal de Revistas UNA
Institución:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Lenguaje:Español
OAI Identifier:oai:ojs.www.una.ac.cr:article/10175
Acceso en línea:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/10175
Palabra clave:Control
dengue
epidemic
Markov chains
model
probability
cadenas de Markov
epidemia
modelo