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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 38

Global stability of a fractional order SIR epidemic model with double epidemic hypothesis and nonlinear incidence rate

Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir

PDF (146.5 KB) https://doi.org/10.28919/cmbn/4677

Abstract

In this paper, we consider a fractional order SIR epidemic model with double epidemic hypothesis and specific functional response, where the fractional derivative is defined in the Caputo sense. The nonnegativity and boundedness of solutions in this system are proved. The basic reproduction number is obtained. Qualitative results show that the model has four equilibria: one disease-free equilibrium and three endemic equilibrium points. Local and global stability analysis of the equilibria are established.

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

Copyright © 2020 Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir. 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. Naim, F. Lahmidi, A. Namir, Global stability of a fractional order SIR epidemic model with double epidemic hypothesis and nonlinear incidence rate, Commun. Math. Biol. Neurosci. 2020 (2020), 38. https://doi.org/10.28919/cmbn/4677

BibTeX
@article{Naim2020,
  author  = {Naim, Mouhcine and Lahmidi, Fouad and Namir, Abdelwahed},
  title   = {Global stability of a fractional order SIR epidemic model with double epidemic hypothesis and nonlinear incidence rate},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {38},
  doi     = {10.28919/cmbn/4677}
}