Griya Journal of Mathematics Education and Application
Vol. 6 No. 2 (2026): Juni 2026

Simulasi Numerik Pengendalian Endemik Demam Berdarah Dengue di Kabupaten Minahasa menggunakan Pendekatan Model SIR-A

Christari Lois Palit (Unknown)
Virginia Sarah Kaparang (Universitas Negeri Manado)
Samuel Jason Bisuan (Unknown)
Suci Cahnia Laode (Universitas Negeri Manado)
Gerald Sunantepar Pakala (Universitas Negeri Manado)
Harly Marsel Karamoy (Universitas Negeri Manado)



Article Info

Publish Date
22 Jun 2026

Abstract

Dengue Hemorrhagic Fever (DHF) persists as a critical threat to public health sectors within tropical ecosystems, including Indonesia. This study evaluates the epidemiological fluctuations of Dengue virus transmission in Minahasa Regency by formulating a SIR-A compartmental mathematical model, focusing on the contribution of strengthened clinical interventions to patient recovery rates. The developed dynamic framework incorporates interactions between human cohorts (susceptible, infected, and recovered phases) and an aquatic pre-adult vector group (mosquito larvae/pupae). The investigative procedure involves constructing a system of nonlinear ordinary differential equations, followed by establishing equilibrium states, calculating the basic reproduction number () threshold, and executing computational simulations via Wolfram Mathematica. Computational outputs demonstrate that an escalation in mosquito larvae density correlates positively with accelerated disease transmission rates. Conversely, optimizing clinical control by increasing the recovery parameter significantly reduces the active infected cohort and drives the system’s trajectory toward a stable disease-free equilibrium state. These insights indicate that accelerating patient care effectiveness and upgrading healthcare infrastructure are crucial policy instruments for suppressing DHF endemic risks in Minahasa Regency.

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Journal Info

Abbrev

Griya

Publisher

Subject

Education Mathematics

Description

Griya Journal of Mathematics Education and Application adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun ...