Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives

Authors

  • Dalal Khalid Almutairi Department of Mathematics, College of Education (Majmaah), Majmaah University, P.O.Box 66, Al-Majmaah, 11952, Saudi Arabia
  • Mohamed A. Abdoon Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan.
  • Salih Yousuf Mohamed Salih Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan.
  • Shahinaz A.Elsamani Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan.
  • Fathelrhman EL Guma Department of Mathematics, Faculty of Science and Arts in Baljurashi, Albaha University, Albaha, Saudi Arabia
  • Mohammed Berir Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan | Department of Mathematics, Faculty of Science and Arts in Baljurashi, Albaha University, Albaha, Saudi Arabia

Keywords:

Leishmaniosis, Modelling, Caputo, Caputo–Fabrizio, Sudan

Abstract

Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo and Caputo-Fabrizio derivatives, a frictional model of visceral leishmaniosis was mathematically examined based on real data from Gedaref State, Sudan. The stability analysis for Caputo and Caputo-Fabrizio derivatives is analyzed. The suggested ordinary and fractional differential mathematical models are then simulated numerically. Using the Adams-Bashforth method, numerical simulations are conducted. The results demonstrate that the Caputo-Fabrizio derivative yields more precise solutions for fractional differential equations.

Dimensions

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Published

2023-07-26

How to Cite

Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1453. https://doi.org/10.46481/jnsps.2023.1453

Issue

Volume 5, Issue 3, August 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 Dalal Khalid Almutairi, Mohamed A. Abdoon, Salih Yousuf Mohamed Salih, Shahinaz A.Elsamani, Fathelrhman EL Guma, Mohammed Berir

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1453. https://doi.org/10.46481/jnsps.2023.1453