Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives
| Autor: | Dalal Khalid Almutairi, Mohamed A. Abdoon, Salih Yousuf Mohamed Salih, Shahinaz A.Elsamani, Fathelrhman EL Guma, Mohammed Berir |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Nigerian Society of Physical Sciences, Vol 5, Iss 3 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2714-2817 2714-4704 |
| DOI: | 10.46481/jnsps.2023.1453 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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