On the mathematical model of Rabies by using the fractional Caputo–Fabrizio derivative

Seher Melike Aydogan, Dumitru Baleanu, Hakimeh Mohammadi, Shahram Rezapour*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

Abstract

Using the fractional Caputo–Fabrizio derivative, we investigate a new version of the mathematical model of Rabies disease. Using fixed point results, we prove the existence of a unique solution. We calculate the equilibrium points and check the stability of solutions. We solve the equation by combining the Laplace transform and Adomian decomposition method. In numerical results, we investigate the effect of coefficients on the number of infected groups. We also examine the effect of derivation orders on the behavior of functions and make a comparison between the results of the integer-order derivative and the Caputo and Caputo–Fabrizio fractional-order derivatives.

Original languageEnglish
Article number382
JournalAdvances in Difference Equations
Volume2020
Issue number1
DOIs
Publication statusPublished - 1 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Funding

Research of the fourth author was supported by Azarbaijan Shahid Madani University. Also, research of the third author was supported by Miandoab Branch, Islamic Azad University. The authors are thankful to dear referees for their valuable comments which basically improved the final version of this work.

FundersFunder number
Islamic Azad University
Azarbaijan Shahid Madani University

    Keywords

    • Adomian decomposition method
    • Fixed point
    • Numerical simulation
    • Rabies model
    • The Caputo–Fabrizio fractional derivative

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