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All Journal Unisda Journal of Mathematics and Computer Science (UJMC)
Alvina Wiliyanti
Universitas Islam Darul Ulum Lamongan
Computer Science & IT Education Mathematics

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Analisis dan Simulasi Model Matematika SIRC pada Dinamika Penyakit Diabetes Mellitus dengan Komplikasi Awawin Mustana Rohmah; Alvina Wiliyanti; Mohammad Syaiful Pradana; Siti Alfiatur Rohmaniah; Rifky Ardhana Kisno Saputra
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 11 No 2 (2025): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v11i2.12276

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.
Co-Authors Awawin Mustana Rohmah Mohammad Syaiful Pradana, Mohammad Syaiful Rifky Ardhana Kisno Saputra Siti Alfiatur Rohmaniah