Syafruddin Side, Salmi Md Noorani
In this paper, we study a system of differential equations that models the population dynamics of Susceptible, Infected, and Removed (SIR) vector transmission of dengue fever. The model studied re-breeding value based on the number of reported cases of dengue fever in South Sulawesi, Indonesia and Selangor, Malaysia. Using the SIR model and based on the rate of infection of humans, the spread of the dengue virus in both countries reached maximum levels in only a very short time. Theoretical and empirical calculations using the model were found to be suitable, and application of the SIR model showed similarities between the countries. However, the SIR model simulation indicated that dengue fever has not become endemic in either country.
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Parang Tambung 90244, Indonesia; School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia
