Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives
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...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nigerian Society of Physical Sciences
2023-07-01
|
| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/1453 |
| _version_ | 1797771268689231872 |
|---|---|
| author | Dalal Khalid Almutairi Mohamed A. Abdoon Salih Yousuf Mohamed Salih Shahinaz A.Elsamani Fathelrhman EL Guma Mohammed Berir |
| author_facet | Dalal Khalid Almutairi Mohamed A. Abdoon Salih Yousuf Mohamed Salih Shahinaz A.Elsamani Fathelrhman EL Guma Mohammed Berir |
| author_sort | Dalal Khalid Almutairi |
| collection | DOAJ |
| description |
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.
|
| first_indexed | 2024-03-12T21:34:05Z |
| format | Article |
| id | doaj.art-fd010746475142ca99f397c4cc7b1917 |
| institution | Directory Open Access Journal |
| issn | 2714-2817 2714-4704 |
| language | English |
| last_indexed | 2024-03-12T21:34:05Z |
| publishDate | 2023-07-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj.art-fd010746475142ca99f397c4cc7b19172023-07-27T12:35:41ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042023-07-015310.46481/jnsps.2023.1453Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivativesDalal Khalid Almutairi0Mohamed A. Abdoon1Salih Yousuf Mohamed Salih2Shahinaz A.Elsamani3Fathelrhman EL Guma4Mohammed Berir5Department of Mathematics, College of Education (Majmaah), Majmaah University, P.O.Box 66, Al-Majmaah, 11952, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan.Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan.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 ArabiaDepartment 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 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. https://journal.nsps.org.ng/index.php/jnsps/article/view/1453Leishmaniosis, Modelling, Caputo, Caputo–Fabrizio, Sudan |
| spellingShingle | Dalal Khalid Almutairi Mohamed A. Abdoon Salih Yousuf Mohamed Salih Shahinaz A.Elsamani Fathelrhman EL Guma Mohammed Berir Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives Journal of Nigerian Society of Physical Sciences Leishmaniosis, Modelling, Caputo, Caputo–Fabrizio, Sudan |
| title | Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives |
| title_full | Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives |
| title_fullStr | Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives |
| title_full_unstemmed | Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives |
| title_short | Modeling and Analysis of a Fractional Visceral Leishmaniosis with Caputo and Caputo–Fabrizio derivatives |
| title_sort | modeling and analysis of a fractional visceral leishmaniosis with caputo and caputo fabrizio derivatives |
| topic | Leishmaniosis, Modelling, Caputo, Caputo–Fabrizio, Sudan |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/1453 |
| work_keys_str_mv | AT dalalkhalidalmutairi modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives AT mohamedaabdoon modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives AT salihyousufmohamedsalih modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives AT shahinazaelsamani modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives AT fathelrhmanelguma modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives AT mohammedberir modelingandanalysisofafractionalvisceralleishmaniosiswithcaputoandcaputofabrizioderivatives |