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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vina Lusiana
Department of Mathematics, School of Mathematics and Science, Republic of Indonesia Defense University, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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MATHEMATICAL MODELING OF VARICELLA TRANSMISSION USING SVEITR MODEL Sadiyana Yaqutna Naqiya; Vina Lusiana; Achmad Abdurrazzaq
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 Achmad Abdurrazzaq Sadiyana Yaqutna Naqiya