Title of article :
Effect of Rainfall for the Dynamical Transmission Model of the Dengue Disease in Thailand
Author/Authors :
Chanprasopchai, Pratchaya Department of Mathematics - Faculty of Science - King Mongkut’s Institute of Technology Ladkrabang - Chalongkrung Road - Ladkrabang - Bangkok, Thailand , Pongsumpun, Puntani Department of Mathematics - Faculty of Science - King Mongkut’s Institute of Technology Ladkrabang - Chalongkrung Road - Ladkrabang - Bangkok, Thailand , Ming Tang, I Faculty of Science - King Mongkut’s University of Technology Thonburi - Bangkok, 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 diseasefree 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.
Keywords :
Dynamical , Transmission , Thailand , SEIR
Journal title :
Computational and Mathematical Methods in Medicine
