Syafruddin Side, Yulita Molliq Rangkuti, Dian Gerhana Pane, Marlina Setia Sinaga
Dengue fever is endemic disease which spread through vector, Aedes Aegypty. This disease is found more than 100 countries, such as, United State, Africa as well Asia, especially in country that have tropic climate. Mathematical modeling in this paper, discusses the speed of the spread of dengue fever. The model adopting divided over four classes, such as Susceptible (S), Exposed (E), Infected (I) and Recovered (R). SEIR model further analyzed to detect the re-breeding value based on the number reported case by dengue in Medan city. Analysis of the stability of the system in this study is asymptotically stable indicating a case of endemic and unstable that show cases the endemic cases. Simulation on the mathematical model of SEIR showed that require a very long time to produce infected humans will be free of dengue virus infection. This happens because of dengue virus infection that occurs continuously between human and vector populations. © 2018 Institute of Physics Publishing. All right reserved.
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Makasar, (UNM), Makasar, South Sulawesi, Indonesia; Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negari Medan, UNIMED, Medan, North Sumatera, 20221, Indonesia
