Stability Analysis of Fuzzy Mathematical Measles Model

H. A. Bhavithra, S. Devi

2023

Abstract

The well-known susceptible-infected-recovered (SIR) mathematical model is used in this work to investigate the disease's spread utilising fuzzy parameters. We have demonstrated that when the reproduction number is less than unity, the disease-free equilibrium point is locally asymptotically stable. In order to extend the concept of basic reproduction number, we are creating a fuzzy basic reproduction number. We are examining the approximate numerical solution of the fuzzy non-linear differential equation applying Euler method and the outcome is examined with the basic reproduction number.

Paper Citation

in Harvard Style

A. Bhavithra H. and Devi S. (2023). Stability Analysis of Fuzzy Mathematical Measles Model. In Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT; ISBN 978-989-758-661-3, SciTePress, pages 423-428. DOI: 10.5220/0012509500003739

in Bibtex Style

@conference{ai4iot23,
author={H. A. Bhavithra and S. Devi},
title={Stability Analysis of Fuzzy Mathematical Measles Model},
booktitle={Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT},
year={2023},
pages={423-428},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012509500003739},
isbn={978-989-758-661-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT
TI - Stability Analysis of Fuzzy Mathematical Measles Model
SN - 978-989-758-661-3
AU - A. Bhavithra H.
AU - Devi S.
PY - 2023
SP - 423
EP - 428
DO - 10.5220/0012509500003739
PB - SciTePress