Journal of Mathematics, Computation and Statistics (JMATHCOS)
Vol. 9 No. 1 (2026): Volume 09 Issue 01 (March 2026)

Mathematical Modeling of Typhoid Fever Control Through Non-Pharmaceutical Interventions in South Sulawesi

Fausiatul Iffa (Universitas Negeri Makassar)
Wahidah Sanusi (Universitas Negeri Makassar)
Alimuddin Alimuddin (Universitas Negeri Makassar)



Article Info

Publish Date
31 Mar 2026

Abstract

Typhoid fever remains one of the major public health problems in Indonesia, particularly in South Sulawesi. This article discusses mathematical modeling of the impact of non-pharmaceutical interventions on typhoid fever control. This study aims to develop a mathematical model that represents the dynamics of typhoid fever transmission and to solve the model numerically using the Variational Iteration Method (VIM). The model applied is the SICRB compartment model, which divides the population into five groups: susceptible (S), infected (I), chronic carrier (C), recovered (R), and bacterial concentration (B). The analysis results indicate that the basic reproduction number R₀ > 1, suggesting that typhoid fever has the potential to persist in the population. Numerical simulations are carried out using Maple for analytical derivation and R Studio for visualization of the dynamics. The implementation of non-pharmaceutical interventions, including health education, environmental sanitation, and herbal treatment, demonstrates a significant reduction in infection cases, an increase in recovery, and a decrease in bacterial concentration. The model shows stability toward the endemic equilibrium and consistency between mathematical analysis and numerical simulations.

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Journal Info

Abbrev

JMATHCOS

Publisher

Subject

Mathematics

Description

Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik ...