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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Hajar, Muhammad Ibnu
Department of Actuarial Science, Institut Teknologi Statistika dan Bisnis Muhammadiyah Semarang, 50181, Indonesia
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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Optimal Control of Cardiovascular Disease Using Pontryagin’s Maximum Principle Diana, Arista Fitri; Soraya, Tarita Intan; Khumaeroh, Mia Siti; Hajar, Muhammad Ibnu
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.25849

Abstract

Cardiovascular disease poses serious global health and economic challenges. This study develops a dynamic model by adapting the infectious-disease SEIR framework to a non-communicable disease context and extending it with a hospitalized compartment. Three control strategies: curative intervention (u1), lifestyle modification (u2), and preventive screening–education (u3) are incorporated and optimized using Pontryagin’s Maximum Principle. Numerical simulations, calibrated with data from Rinkendiknas, World Health Organization, National Health Insurance program, BMC Public Health, National Library of Medicine, and RS Roemani Muhammadiyah Semarang, show that curative control rapidly reduces early case burden, while lifestyle modification and education sustain long-term declines. With combined controls, the exposed, infected, and hospitalized compartments decrease by 10%, 20,8%, and 7,4%, respectively, while costs are reduced by 28,5% compared to single interventions. The integration of epidemiological models, health-system dynamics, and multi-control optimization offers both methodological novelty and practical value for cost-effective cardiovascular disease policy design.
Co-Authors Diana, Arista Fitri Khumaeroh, Mia Siti Soraya, Tarita Intan