INFORMATIKA
Vol. 6 No. 2 (2026): Oktober : JURNAL TEKNIK INFORMATIKA DAN MULTIMEDIA

ANALISIS KOMPARATIF MODEL SIR NON-LINIER DBD DI SIMALUNGUN DAN DAIRI

Jhon Gabriel Simarmata (Universitas Negeri Medan)
Zulfahmi Indra (Universitas Negeri Medan)
Andika Veriando Saragih (Universitas Negeri Medan)



Article Info

Publish Date
20 Oct 2026

Abstract

Dengue Hemorrhagic Fever (DHF) exhibits different transmission dynamics across regions. This study aims to comparatively analyze the simulated spread of DHF in Simalungun Regency and Dairi Regency using a nonlinear Susceptible-Infected-Recovered (SIR) model. Dengue incidence-rate data from 2024 were used to determine the initial conditions on a normalized population basis of 100,000 inhabitants. The SIR system was solved numerically using the second-order Heun method with a one-day time step over a 160-day simulation period. The analysis included the basic reproduction number ( ), Herd Immunity Threshold (HIT), compartment dynamics, infection peak, peak time, and numerical accuracy evaluation against a reference RK45 solution. The simulation results showed that Simalungun, with  and , produced , an HIT of 82.14%, and an infection peak of 51,290.91 on day 39. Dairi, with  and , produced , an HIT of 77.27%, and an infection peak of 43,604.73 on day 44. Numerical evaluation resulted in MAPE values of 1.12% for Simalungun and 0.56% for Dairi. The results indicate that differences in the transmission rate affect the magnitude and timing of the infection peak under the model scenarios considered.

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Journal Info

Abbrev

JTIM

Publisher

Subject

Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Mechanical Engineering

Description

Jurnal Teknik Informatika dan Multimedia adalah jurnal ilmiah peer review yang diterbitkan oleh Politeknik Pratama Kendal. Jurnal Teknik Informatika dan Multimedia terbit dalam dua edisi dalam setahun yaitu edisi Mei dan Oktober. Kontributor Jurnal Teknik Informatika dan Multimedia berasal dari ...