Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand-Reference-Cited by-同舟云学术

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

Published:2017 Issue: Volume:2017 Page:1-17
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Chanprasopchai Pratchaya¹,Pongsumpun Puntani¹^ORCID,Tang I. Ming²

Affiliation:

1. Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Chalongkrung Road, Ladkrabang, Bangkok 10520, Thailand

2. Computational & Applied Science for Smart Innovation Cluster (CLASSIC), Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand

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 (R0) 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.

Funder

King Mongkut’s Institute of Technology Ladkrabang

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2017/2541862.pdf

Reference27 articles.

1. Studying seasonality by using sine and cosine functions in regression analysis

2. Analysis of a dengue disease transmission model

3. The seasonal reproduction number of dengue fever: impacts of climate on transmission

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