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Computational and Mathematical Methods in Medicine
Volume 2017 (2017), Article ID 2541862, 17 pages
https://doi.org/10.1155/2017/2541862
Research Article

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

1Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Chalongkrung Road, Ladkrabang, Bangkok 10520, Thailand
2Computational & Applied Science for Smart Innovation Cluster (CLASSIC), Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand

Correspondence should be addressed to Puntani Pongsumpun; ht.ca.ltimk@natnuppk

Received 6 April 2017; Revised 5 June 2017; Accepted 11 June 2017; Published 8 August 2017

Academic Editor: Chung-Min Liao

Copyright © 2017 Pratchaya Chanprasopchai et al. 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.

Abstract

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 () 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.