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Commun. Math. Biol. Neurosci. 2024 (2024), Article ID 102

Dynamical analysis of a fractional order SEIT epidemic model for TB spread under influence of vaccination

Muhafzan -, Ahmad Iqbal Baqi, Narwen -, Budi Rudianto, Lyra Yulianti, Zulakmal -, H. A. Hanan, L. T. Ayu

Abstract

In this work, we present a fractional SEIT mathematical model for Tuberculosis (TB) spread in a human population under the influence of vaccination and investigate the stability of the endemic and disease-free equilibrium points of the model. In addition, we also study the effect of vaccination on the basic reproduction number and the number of infected individuals. It was shown that the stability of disease-free and endemic equilibrium points depends on the basic reproduction number. The analysis reveals that as vaccination increases, both the basic reproduction number and the number of infected individuals decrease.

Published
3 October 2024
Volume
2024 (2024)
License
CC BY 3.0

Copyright © 2024 Muhafzan -, Ahmad Iqbal Baqi, Narwen -, Budi Rudianto, Lyra Yulianti, Zulakmal -, H. A. Hanan, L. T. Ayu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. -, A. I. Baqi, N. -, B. Rudianto, L. Yulianti, Z. -, H. A. Hanan, L. T. Ayu, Dynamical analysis of a fractional order SEIT epidemic model for TB spread under influence of vaccination, Commun. Math. Biol. Neurosci. 2024 (2024), 102. https://doi.org/10.28919/cmbn/8853

BibTeX
@article{-2024,
  author  = {-, Muhafzan and Baqi, Ahmad Iqbal and -, Narwen and Rudianto, Budi and Yulianti, Lyra and -, Zulakmal and Hanan, H. A. and Ayu, L. T.},
  title   = {Dynamical analysis of a fractional order SEIT epidemic model for TB spread under influence of vaccination},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2024},
  year    = {2024},
  pages   = {102},
  doi     = {10.28919/cmbn/8853}
}