Abstract—In this paper, we used SEIR model to describe the transmission of dengue disease in mosquito due to the different dengue transmission rate in each season. Aedes aegypti and Aedes albopictus are primary vectors for the disease. The human population is separated into three population groups such as human in rainy season, human in winter season, human in summer season and vector population. We use standard dynamical analysis method for analyzing mathematical model. The basic reproductive number of disease is found. The stability conditions of the disease free equilibrium state for R₀<1and the endemic state are determined for R₀<1.

Index Terms—Transmission model, mathematical model, SEIR model.

Rattiya Sungchasit is with Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University Muang District, Phuket, 83000, Thailand (email: tan_sungchasit@hotmail.com).
Puntani Pongsumpun is with Department of Mathematics, Faculty of Science, King Mongkut’s institute of Technology Ladkrabang, Chalongkrung road Ladkrabang, Bangkok 10520, Thailand.

Cite: Rattiya Sungchasit, Puntani Pongsumpun, "Numerical Analysis of the Transmission Model of Dengue on SEIR Model," International Journal of Bioscience, Biochemistry and Bioinformatics vol. 7, no. 2, pp. 93-101, 2017.