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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2020 (2020)

Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 41

Stability analysis of mathematical model new corona virus (COVID-19) disease spread in population

Abderrahim Labzai, Abdelfatah Kouidere, Omar Balatif, Mostafa Rachik

PDF (334.6 KB) https://doi.org/10.28919/cmbn/4551

Abstract

The New Corona Virus epidemic is the most serious epidemic that the international community had known in 2019 and this is manifested by the deaths it claimed and in a short time. Its risk is much greater than (MERS) disease that emerged in the Republic of Korea and it is spreading largely more than SARS disease which appeared in Saudi Arabia and the Middle East. This deadly disease caught the public’s attention and caused terror in many societies around the world. We are building a dynamic model based on the detailed data of mortality from the World Health Organization (WHO) and the actual spread of the epidemic. By using Routh-Hurwitz criteria and constructing Lyapunov functions, the local and the global stability of the disease-free equilibrium and the disease equilibrium are obtained. We also study the sensitivity analysis of model parameters to know the parameters that have a high impact on the reproduction number R0. Finally, numerical simulations are performed to verify the theoretical analysis using Matlab.

Published
14 July 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Abderrahim Labzai, Abdelfatah Kouidere, Omar Balatif, Mostafa Rachik. 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

A. Labzai, A. Kouidere, O. Balatif, M. Rachik, Stability analysis of mathematical model new corona virus (COVID-19) disease spread in population, Commun. Math. Biol. Neurosci. 2020 (2020), 41. https://doi.org/10.28919/cmbn/4551

BibTeX
@article{Labzai2020,
  author  = {Labzai, Abderrahim and Kouidere, Abdelfatah and Balatif, Omar and Rachik, Mostafa},
  title   = {Stability analysis of mathematical model new corona virus (COVID-19) disease spread in population},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {41},
  doi     = {10.28919/cmbn/4551}
}