International Journal of Modern Physics: Conference Series Vol. 1, No. 1 (2010) 1–5  World Scientific Publishing Company DOI: 10.1142/insert DOI here 1 SEIR MODEL FOR TRANSMISSION OF DENGUE FEVER IN SELANGOR MALAYSIA Syafruddin S 1 1 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, South Sulawesi, Indonesia udhinmath_unm@yahoo.com M.S.M Noorani 2 2 School of Mathematical Sciences, Universiti Kebangsaan Malaysia 43600 Bangi, Selangor, Malaysia. msn@ukm.my Received (Day Month Year) Revised (Day Month Year) Abstract In this paper, we study a system of differential equations that models the population dynamics of SEIR vector transmission of dengue fever. The model studied breeding value based on the number of reported cases of dengue fever in Selangor because the state had the highest case in Malaysia. The model explains that maximum level of human infection rate of dengue fever achieved in a very short period. It is also revealed that there existed suitability result between theoretical and empirical calculation using the model. The result of SEIR model will hopefully provide an insight into the spread of dengue fever in Selangor Malaysia and basic form for modeling this area. Keywords: Dengue fever; Endemic; SEIR model; Stability; Threshold parameter. 1. Introduction After the Second World War, dengue fever is regarded as a serious infectious disease that risks about 2.5 billion people all over the world, especially in the tropical countries and became a major epidemic disease occurred in Southeast Asia. Such epidemic arises due to climate change and a lack of people knowledge and awareness on dengue fever so that the dengue fever possibly becomes an endemic for a long time. Moreover, World Health Organization (WHO) [26] estimated about 50 to 100 million cases reported. Around 500,000 people are estimated to be infected by hemorrhagic dengue fever each year. The mathematical models for dengue fever found that compartmental dynamics such as Susceptible, Infected, Removed (SIR) and Susceptible, Exposed, Infected, Removed (SEIR). Particularly, in SIR models [5, 9, 17, 21, 24, 27] and SEIR models [10] had been published. In SIR model exclude the latent period as one of the variables where in SEIR