Vaccination strategy and psychological effects in a fractional order epidemic model

Mehdi Zahid, Maria Acim

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.

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Published: 2022-09-26

How to Cite this Article:

Mehdi Zahid, Maria Acim, Vaccination strategy and psychological effects in a fractional order epidemic model, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 96

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.

Commun. Math. Biol. Neurosci.

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