BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application

MATHEMATICAL MODELING OF VARICELLA TRANSMISSION USING SVEITR MODEL

Naqiya, Sadiyana Yaqutna (Unknown)
Lusiana, Vina (Unknown)
Abdurrazzaq, Achmad (Unknown)



Article Info

Publish Date
26 Jan 2026

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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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...