The dynamics of the SEIR epidemic model under the influence of delay
Abstract
An SEIR delayed epidemic model with nonlinear incidence and treatment rates is proposed and investigated. There is a realistic zone where the model's solutions are non-negative and bounded for all time. The stability of the two equilibrium points is explored both locally and globally. The stability and direction of Hopf-bifurcation are established using the normal form and center manifold reduction of the system. Finally, a numerical simulation to back up our analytical findings is used. The system has at most two equilibrium points, and when the delay surpasses a certain value, it exhibits a Hopf bifurcation.
- Published
- 27 June 2022
- Volume
- 2022 (2022)
- License
- CC BY 3.0
Copyright © 2022 Reem Mudar Hussien, Raid Kamel Naji. 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
R. M. Hussien, R. K. Naji, The dynamics of the SEIR epidemic model under the influence of delay, Commun. Math. Biol. Neurosci. 2022 (2022), 57. https://doi.org/10.28919/cmbn/7500
BibTeX
@article{Hussien2022,
author = {Hussien, Reem Mudar and Naji, Raid Kamel},
title = {The dynamics of the SEIR epidemic model under the influence of delay},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2022},
year = {2022},
pages = {57},
doi = {10.28919/cmbn/7500}
}