Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 96

Vaccination strategy and psychological effects in a fractional order epidemic model

Mehdi Zahid, Maria Acim

PDF (1.2 MB) https://doi.org/10.28919/cmbn/7650

Abstract

Various approaches have been made recently to understand the complex dynamics of many epidemic diseases like COVID-19. The mathematical modeling approach is one of the considerable tools to study the disease spreading pattern. In this paper we study a fractional order SIR epidemic model with nonmonotone incidence rate and vaccination involving a Caputo type fractional derivative. Existence and uniqueness results for the problem are established which means that our model is biologically and mathematically well posed. We Firstly give some preliminaries results. Then we calculate the equilibria and investigate their global stability. Finally, we present some numerical simulations to support our analytical findings.

Published
26 September 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Mehdi Zahid, Maria Acim. 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. Zahid, M. Acim, Vaccination strategy and psychological effects in a fractional order epidemic model, Commun. Math. Biol. Neurosci. 2022 (2022), 96. https://doi.org/10.28919/cmbn/7650

BibTeX
@article{Zahid2022,
  author  = {Zahid, Mehdi and Acim, Maria},
  title   = {Vaccination strategy and psychological effects in a fractional order epidemic model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {96},
  doi     = {10.28919/cmbn/7650}
}