Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method

  • Syafruddin Side Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia (ID)
  • Ahmad Zaki Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia (ID)
  • Miswar Department of Mathematics, Universitas Negeri Makassar, Makassar, Sulawesi Selatan, Indonesia (ID)
Keywords: DHF, Numerical solutions, Runge-Kutta fourth order

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Abstract

This research was conducted to find a numerical solution to the mathematical model of DHF in Makassar using the Runge-Kutta fourth order method. The mathematical model of DHF is in the form of a system of differential equations that includes variables S (Susceptible), E (Exposed), I (Infected), and R (Recovery) simplified into classes of vulnerable (S), exposed (E), infected (I) and cured (R) as initial value. Parameters value that is solved numerically using the Runge-Kutta fourth order method with time intervals h = 0.01 months using data from South Sulawesi Provincial Health Service in 2017. Based on the initial value of each class, namely: obtained  (Sh1) =10910.4, (E) = 0, (Ih1) = 177.9 , (Sv1) = 5018685.6, (Iv1) = 135.4,  and R = -981612.3. The initial values ​​and parameter values ​​are substituted into numerical solutions to the model simulated using maple as a tool.



Published
2022-04-05
Section
Articles
How to Cite
Side, S., Zaki, A., & Miswar. (2022). Numerical Solution of the Mathematical Model of DHF Spread using the Runge-Kutta Fourth Order Method. ARRUS Journal of Mathematics and Applied Science, 2(2), 92-100. https://doi.org/10.35877/mathscience745