Stability Analysis and Numerical Simulation of Fractional Model of Leishmaniasis


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Authors

  • Elsayed Elshoubary El-Ahram Institute for Engineering and Technology
  • Mohamed A.Abdoon
  • Abdulgader Bahatheg
  • Mousa Mubarak Albeladi

Keywords:

Mathematical Modelling, Leishmaniosis, Caputo, Atangana–Baleanu derivatives

Abstract

The disease of leishmaniasis is one that takes some research and study to fully comprehend. As a result, mathematical modeling can be utilized to gain insight into and enhance the accuracy of epidemiological forecasts. A friction model of Leishmaniasis was analyzed using empirical data from Sudan by factoring in the derivatives of Caputo and Atangana-Baleanu. The Caputo and AB derivatives have been subjected to a stability study. A numerical simulation of the suggested ordinary and fractional differential mathematical model follows. The performance was evaluated by calculating its error rating.

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Published

2023-06-11 — Updated on 2023-07-18

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How to Cite

Elshoubary, E., A.Abdoon, M., Bahatheg, A., & Albeladi, M. M. (2023). Stability Analysis and Numerical Simulation of Fractional Model of Leishmaniasis. Results in Nonlinear Analysis, 6(2), 9–17. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/171 (Original work published June 11, 2023)