Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand

The SEIR (Susceptible-Exposed-Infected-Recovered) model is used to describe the transmission of dengue virus. The main contribution is determining the role of the rainfall in Thailand in the model. The transmission of dengue disease is assumed to depend on the nature of the rainfall in Thailand. We...

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Autores principales: Chanprasopchai, Pratchaya, Pongsumpun, Puntani, Tang, I. Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2017
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5591907/
https://www.ncbi.nlm.nih.gov/pubmed/28928793
http://dx.doi.org/10.1155/2017/2541862
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author Chanprasopchai, Pratchaya
Pongsumpun, Puntani
Tang, I. Ming
author_facet Chanprasopchai, Pratchaya
Pongsumpun, Puntani
Tang, I. Ming
author_sort Chanprasopchai, Pratchaya
collection PubMed
description The SEIR (Susceptible-Exposed-Infected-Recovered) model is used to describe the transmission of dengue virus. The main contribution is determining the role of the rainfall in Thailand in the model. The transmission of dengue disease is assumed to depend on the nature of the rainfall in Thailand. We analyze the dynamic transmission of dengue disease. The stability of the solution of the model is analyzed. It is investigated by using the Routh-Hurwitz criteria. We find two equilibrium states: a disease-free state and an endemic equilibrium state. The basic reproductive number (R(0)) is obtained, which indicates the stability of each equilibrium state. Numerical results taking into account the rainfall are obtained and they are seen to correspond to the analytical results.
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spelling pubmed-55919072017-09-19 Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand Chanprasopchai, Pratchaya Pongsumpun, Puntani Tang, I. Ming Comput Math Methods Med Research Article The SEIR (Susceptible-Exposed-Infected-Recovered) model is used to describe the transmission of dengue virus. The main contribution is determining the role of the rainfall in Thailand in the model. The transmission of dengue disease is assumed to depend on the nature of the rainfall in Thailand. We analyze the dynamic transmission of dengue disease. The stability of the solution of the model is analyzed. It is investigated by using the Routh-Hurwitz criteria. We find two equilibrium states: a disease-free state and an endemic equilibrium state. The basic reproductive number (R(0)) is obtained, which indicates the stability of each equilibrium state. Numerical results taking into account the rainfall are obtained and they are seen to correspond to the analytical results. Hindawi 2017 2017-08-08 /pmc/articles/PMC5591907/ /pubmed/28928793 http://dx.doi.org/10.1155/2017/2541862 Text en Copyright © 2017 Pratchaya Chanprasopchai et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chanprasopchai, Pratchaya
Pongsumpun, Puntani
Tang, I. Ming
Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title_full Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title_fullStr Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title_full_unstemmed Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title_short Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
title_sort effect of rainfall for the dynamical transmission model of the dengue disease in thailand
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5591907/
https://www.ncbi.nlm.nih.gov/pubmed/28928793
http://dx.doi.org/10.1155/2017/2541862
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AT pongsumpunpuntani effectofrainfallforthedynamicaltransmissionmodelofthedenguediseaseinthailand
AT tangiming effectofrainfallforthedynamicaltransmissionmodelofthedenguediseaseinthailand

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