Jurnal Matematika UNAND
Vol 14, No 1 (2025)

A Deterministic Mathematical Model of Meningitis Transmission Dynamics with Vaccination and Screening

Amar, Muh Ikhsan (Unknown)
Nisardi, Muhammad Rifki (Unknown)
Nurahmad, Muhammad Fadhil (Unknown)



Article Info

Publish Date
31 Jan 2025

Abstract

This study aims to examine the mathematical model of meningitis transmission as a deterministic model. The model includes five compartments: susceptible (S), carrier (C), infected (I), treatment (T), and recovered (R). We also consider vaccination and screening as interventions in disease transmission. In this work, we obtained two equilibrium points: disease-free equilibrium point and endemic equilibrium point. The next generation matrix is employed to compute the basic reproduction numbers ($R_0$). We also analyzed the sensitivity of parameters concerning $R_0$. If $R_0 < 1$, then the disease-free equilibrium point exists and is locally stable, whereas the endemic equilibrium point exists when $R_0 > 1$ and is locally stable if the Routh-Hurwitz criterion is satisfied. We use the Runge-Kutta 4th order method to confirm the stability properties of the equilibrium points and also show that vaccination and screening affect the transmission dynamics of Meningitis

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Journal Info

Abbrev

jmua

Publisher

Subject

Computer Science & IT Mathematics

Description

Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori ...