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

Dalal Khalid Almutairi; Mohamed A. Abdoon; Salih Yousuf Mohamed Salih; Shahinaz A.Elsamani; Fathelrhman EL Guma; Mohammed Berir

doi:10.46481/jnsps.2023.1453

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
[email protected]

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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