Analysis of the stability of a mathematical model for measles
Abstract
The worldwide measles crisis has escalated into a significant public health issue due to its lethal nature, generating widespread anxiety. Our study presents a dynamic mathematical model constructed using comprehensive mortality data from the World Health Organization and actual data on measles outbreak propagation. By utilizing the Routh-Hurwitz criteria and formulating Lyapunov functions, we demonstrated both local and global stability for scenarios with and without the presence of the disease. Furthermore, we conducted a sensitivity analysis on the model’s parameters to assess their impact on the basic reproduction number, R0. Our theoretical results were substantiated through numerical simulations performed with MATLAB.
- Published
- 22 April 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Hicham Gourram, Issam Sahib, Mohamed Baroudi, Imane Smouni, Abderrahim Labzai, Mohamed Belam. 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
H. Gourram, I. Sahib, M. Baroudi, I. Smouni, A. Labzai, M. Belam, Analysis of the stability of a mathematical model for measles, Commun. Math. Biol. Neurosci. 2025 (2025), 55. https://doi.org/10.28919/cmbn/8987
BibTeX
@article{Gourram2025,
author = {Gourram, Hicham and Sahib, Issam and Baroudi, Mohamed and Smouni, Imane and Labzai, Abderrahim and Belam, Mohamed},
title = {Analysis of the stability of a mathematical model for measles},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2025},
year = {2025},
pages = {55},
doi = {10.28919/cmbn/8987}
}