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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 14

A fractional SITR model for dynamic of tuberculosis spread

Muhafzan -, Zulakmal -, Narwen -, Ahmad Iqbal Baqi, A. G. Lestari, M. Oktaviani

PDF (383.8 KB) https://doi.org/10.28919/cmbn/7864

Abstract

This work presents a fractional SITR mathematical model that investigates the Tuberculosis (TB) spread in a human population. It was shown that disease-free and endemic equilibrium stability depended on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the infected subpopulation increases in the absence of special treatment.

Published
6 February 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Muhafzan -, Zulakmal -, Narwen -, Ahmad Iqbal Baqi, A. G. Lestari, M. Oktaviani. 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. -, Z. -, N. -, A. I. Baqi, A. G. Lestari, M. Oktaviani, A fractional SITR model for dynamic of tuberculosis spread, Commun. Math. Biol. Neurosci. 2023 (2023), 14. https://doi.org/10.28919/cmbn/7864

BibTeX
@article{-2023,
  author  = {-, Muhafzan and -, Zulakmal and -, Narwen and Baqi, Ahmad Iqbal and Lestari, A. G. and Oktaviani, M.},
  title   = {A fractional SITR model for dynamic of tuberculosis spread},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {14},
  doi     = {10.28919/cmbn/7864}
}