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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi BAREKENG: Jurnal Ilmu Matematika dan Terapan
Naqiya, Sadiyana Yaqutna
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Development of a Fuzzy Logic Model for Tsunami Early Detection Using Tunami F1 on the Southern Coast of Yogyakarta International Airport, Jogja Naqiya, Sadiyana Yaqutna; Khoirunnisa, Hanah; Pradananta, Galih
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35416

Abstract

Tsunami disaster mitigation requires a reliable early warning system to reduce traumatic impacts and material losses. This study develops a fuzzy logic model for early tsunami detection by integrating wave height (SSH) and estimated tsunami arrival time (ETATSU) parameters. The model is combined with the TUNAMI F1 simulation, which considers seabed topography and fluid dynamics. Simulations were conducted on 36 earthquake scenarios on the southern coast near Yogyakarta International Airport (YIA). The results show that the model successfully classifies tsunami risks into three categories: alert, standby, and emergency, with an overall accuracy of 83.3%. Some scenarios showed invalid results at high magnitudes (Mw ≥ 8.5). This research improves the accuracy of tsunami early warning systems, potentially saving more lives and minimizing the impact of disasters.
MATHEMATICAL MODELING OF VARICELLA TRANSMISSION USING SVEITR MODEL Naqiya, Sadiyana Yaqutna; Lusiana, Vina; Abdurrazzaq, Achmad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss2pp1613-1626

Abstract

Varicella is a highly contagious disease with strong potential to persist endemically if not adequately controlled. This study develops an SVEITR (Susceptible–Vaccinated–Exposed–Infected–Treated–Recovered) model by extending the SVEIR and SEITR frameworks with a treatment compartment to represent individuals receiving medical care. A mathematical modeling approach was applied through differential equation formulation, equilibrium stability analysis, and computation of the basic reproduction number using the Next Generation Matrix method. The results show that , confirming a high transmission potential. Numerical simulations indicate that vaccination and treatment reduce disease spread, yet waning immunity sustains a pool of susceptible individuals. These findings highlight the importance of continuous control strategies. The inclusion of a treatment compartment represents a methodological advancement, providing a more comprehensive framework for evaluating the effects of interventions on varicella transmission.
Co-Authors Abdurrazzaq, Achmad Galih Pradananta Hanah Khoirunnisa LUSIANA, VINA