MATHEMATICAL MODELING OF VARICELLA TRANSMISSION USING SVEITR MODEL

  • Sadiyana Yaqutna Naqiya Department of Mathematics, School of Mathematics and Science, Republic of Indonesia Defense University, Indonesia https://orcid.org/0009-0008-6927-5068
  • Vina Lusiana Department of Mathematics, School of Mathematics and Science, Republic of Indonesia Defense University, Indonesia https://orcid.org/0009-0009-3461-0505
  • Achmad Abdurrazzaq Department of Mathematics, School of Mathematics and Science, Republic of Indonesia Defense University, Indonesia https://orcid.org/0000-0002-9227-023X
DOI: https://doi.org/10.30598/barekengvol20iss2pp1613–1626
Keywords: Basic reproduction number, Model development, Numerical simulation, SVEITR Model, Varicella

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.

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Published
2026-01-26
How to Cite
[1]
S. Y. Naqiya, V. Lusiana, and A. Abdurrazzaq, “MATHEMATICAL MODELING OF VARICELLA TRANSMISSION USING SVEITR MODEL”, BAREKENG: J. Math. & App., vol. 20, no. 2, pp. 1613–1626, Jan. 2026.
Issue
Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
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Articles

Copyright (c) 2026 Sadiyana Yaqutna Naqiya, Vina Lusiana, Achmad Abdurrazzaq

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