Optimal control strategy and validation of the SVITR model for influenza A (H1N1) virus
Abstract
In this work, a SVITR compartmental model is developed for representing the spread of Influenza A (H1N1) and a 3-variable control strategy is developed comprises of vaccination, treatment and awareness program. The real-world data for Influenza A (H1N1) is considered from the state of West Bengal during 2019-2024 as reported by National Centre for Disease Control (NCDC). Model is compared with the collected data and significant comparative trajectory is found year wise. The control strategy is developed using Pontryagin’s minimum principle. The impact of different parameters is based on normalized sensitivity analysis method. Positivity and boundedness of the model is found. Also, stability analysis was performed corresponding to equilibrium points, and it is observed that the model shows stability when Basic Reproduction Number R0 < 1, which is also reflected in the collected data.
- Published
- 20 November 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Dipak Maji, Nav Kumar Mahato, Aditya Ghosh. 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
D. Maji, N. K. Mahato, A. Ghosh, Optimal control strategy and validation of the SVITR model for influenza A (H1N1) virus, Commun. Math. Biol. Neurosci. 2025 (2025), 140. https://doi.org/10.28919/cmbn/9464
BibTeX
@article{Maji2025,
author = {Maji, Dipak and Mahato, Nav Kumar and Ghosh, Aditya},
title = {Optimal control strategy and validation of the SVITR model for influenza A (H1N1) virus},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2025},
year = {2025},
pages = {140},
doi = {10.28919/cmbn/9464}
}