Bulletin of Applied Mathematics and Mathematics Education
Vol. 3 No. 1 (2023)

A mathematical model of meningitis with antibiotic effects

Ginting, Rini Sania br (Unknown)
Adi, Yudi Ari (Unknown)



Article Info

Publish Date
29 Dec 2023

Abstract

The mathematical model in this study is a SCIR-type meningitis disease spread model, namely susceptible (S), carrier (C), infected (I), and recovery (R). In the model used, there are two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The conditions and stability of the equilibrium point are determined by the basic reproduction number, which is the value that determines whether or not the spread of meningitis infection in a population. The results of this study show that the stability of the disease-free equilibrium point and the endemic equilibrium point are locally asymptotically stable and by using the Lyapunov Function method it is found that the disease-free equilibrium point will be globally stable when, while the endemic equilibrium point will be globally stable when numerical simulations perform to support the theoretical results.

Copyrights © 2023






Journal Info

Abbrev

BAMME

Publisher

Subject

Mathematics

Description

BAMME welcomes high-quality manuscripts resulted from a research project in the scope of applied mathematics and mathematics education, which includes, but is not limited to the following topics: Analysis and applied analysis, algebra and applied algebra, logic, geometry, differential equations, ...