Unisda Journal of Mathematics and Computer Science (UJMC)
Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science

Analisis dan Simulasi Model Matematika SIRC pada Dinamika Penyakit Diabetes Mellitus dengan Komplikasi

Awawin Mustana Rohmah (Universitas Islam darul Ulum Lamongan)
Alvina Wiliyanti (Universitas Islam Darul Ulum Lamongan)
Mohammad Syaiful Pradana (Universitas Islam Darul Ulum Lamongan)
Siti Alfiatur Rohmaniah (Universitas Islam Darul Ulum Lamongan)
Rifky Ardhana Kisno Saputra (Universitas Islam Darul Ulum Lamongan)



Article Info

Publish Date
31 Dec 2025

Abstract

Diabetes is a global health problem with a continuously increasing prevalence, adversely affecting quality of life and increasing the risk of health complications. This study applies the SIRC mathematical model to describe the temporal dynamics of diabetes, with model parameters calibrated using recent data. System stability is analyzed using the Jacobian method to determine equilibrium points and system behavior. The results indicate a high incidence of disease and complications, while the recovery rate remains relatively low. The basic reproduction number (R₀) of 1.6483 suggests that the disease still has the potential to spread. Furthermore, the equilibrium point E₁ is found to be unstable due to the presence of positive eigenvalues. This study provides important insights into diabetes dynamics that may support effective health management strategies.

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Journal Info

Abbrev

ujmc

Publisher

Subject

Computer Science & IT Education Mathematics

Description

Unisda Journal of Mathematics and Computational Science (UJMC) is a research journal published by Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan with the scope of pure mathematics, applied science, education, ...