A Fractional Mathematical Model of Influenza: Meningitis Coinfection Using Caputo Derivatives

Muhammad Rifki Nisardi, Hartina Husain, Kusnaeni, Muh. Ikhsan Amar, Muh Fadhil Nurahmad, Nur Rahmi

2024

Abstract

This study examines a mathematical model involving the influenza infection on the spread of meningitis within a population. This research extends previous studies by formulating the model in Caputo fractional derivative with order 𝛼. Based on this model, we determined the equilibrium points of the system and their stability conditions are determined. We also employ the Next Generation Matrix method to calculate the basic reproduction number (𝑅଴). Subsequently, the model solution is addressed through a numerical simulation scheme for the fractional model, specifically the Predictor-Corrector Product Integration Rule (PECE-PI) method. The result of this study showed that Different values of the fractional order indicated varying speeds of reaching a steady state or endemic level while the changes of both influenza and meningitis transmission rate and quarantine rate have an impact to transmission dynamics.

Paper Citation

in Harvard Style

Nisardi M., Husain H., Kusnaeni., Amar M., Nurahmad M. and Rahmi N. (2024). A Fractional Mathematical Model of Influenza: Meningitis Coinfection Using Caputo Derivatives. In Proceedings of the 5th Borneo International Conference - Volume 1: BICAME; ISBN 978-989-758-734-4, SciTePress, pages 5-13. DOI: 10.5220/0013214100004605

in Bibtex Style

@conference{bicame24,
author={Muhammad Rifki Nisardi and Hartina Husain and Kusnaeni and Muh. Ikhsan Amar and Muh Fadhil Nurahmad and Nur Rahmi},
title={A Fractional Mathematical Model of Influenza: Meningitis Coinfection Using Caputo Derivatives},
booktitle={Proceedings of the 5th Borneo International Conference - Volume 1: BICAME},
year={2024},
pages={5-13},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013214100004605},
isbn={978-989-758-734-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 5th Borneo International Conference - Volume 1: BICAME
TI - A Fractional Mathematical Model of Influenza: Meningitis Coinfection Using Caputo Derivatives
SN - 978-989-758-734-4
AU - Nisardi M.
AU - Husain H.
AU - Kusnaeni.
AU - Amar M.
AU - Nurahmad M.
AU - Rahmi N.
PY - 2024
SP - 5
EP - 13
DO - 10.5220/0013214100004605
PB - SciTePress