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 language | English |
|---|---|
| Article number | 382 |
| Journal | Advances in Difference Equations |
| Volume | 2020 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 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.
| Funders | Funder number |
|---|---|
| Islamic Azad University | |
| Azarbaijan Shahid Madani University |
Keywords
- Adomian decomposition method
- Fixed point
- Numerical simulation
- Rabies model
- The Caputo–Fabrizio fractional derivative
