Performance of the Runge-Kutta methods in solving a mathematical model for the spread of dengue fever disease

Abstract

Dengue fever disease has been a big problem in Indonesia. In this paper, we solve a mathematical model for the spread of dengue fever disease using the Runge-Kutta methods. We provide some cases to show the performance of the Runge-Kutta methods in solving the model. In particular, the Runge-Kutta methods to be applied are the Euler and the Heun methods. We focus on researching the performance of these methods in solving the model.