A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative
In the present paper, we formulate novel fractional tuberculosis (TB) model with a generalized Atangana–Baleanu (GAB) fractional derivative. The parameters in this model are fitted from the real statistical data of cases of TB infections in Yemen from 2000 to 2019. Firstly, pulmonary TB cases of inf...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-10-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972100807X |
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| author | Wasfi Shatanawi Mohammed S. Abdo Mansour A. Abdulwasaa Kamal Shah Satish K. Panchal Sunil V. Kawale Kirtiwant P. Ghadle |
| author_facet | Wasfi Shatanawi Mohammed S. Abdo Mansour A. Abdulwasaa Kamal Shah Satish K. Panchal Sunil V. Kawale Kirtiwant P. Ghadle |
| author_sort | Wasfi Shatanawi |
| collection | DOAJ |
| description | In the present paper, we formulate novel fractional tuberculosis (TB) model with a generalized Atangana–Baleanu (GAB) fractional derivative. The parameters in this model are fitted from the real statistical data of cases of TB infections in Yemen from 2000 to 2019. Firstly, pulmonary TB cases of infected people in Yemen during the period (2000–2019) were studied and analyzed. The future trends for possible cases of pulmonary tuberculosis in Yemen for the years (2020–2021) were predicted using the Expert Modeler model and apply statistical analysis programs (SPSS, version23 & Eviews, 9). In addition, we have investigated the spread of TB in Yemen and compared it with some countries around the world. Further, the fundamental properties of this novel fractional tuberculosis (TB) model with a generalized Atangana–Baleanu (GAB) fractional derivative are given. The fixed point theory is used to obtained existence and uniqueness results for this model. Finally, the solutions are obtained using iterative techniques of Adams–Bashforth and are presented using graphical simulations. Here we get numerical values of parameters used in this novel model to display the significance of our novel model, which provides useful information about the dynamics of spread and control of TB. |
| first_indexed | 2024-12-21T16:31:56Z |
| format | Article |
| id | doaj.art-19db4871731c42fd907e22be14086956 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-21T16:31:56Z |
| publishDate | 2021-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-19db4871731c42fd907e22be140869562022-12-21T18:57:19ZengElsevierResults in Physics2211-37972021-10-0129104739A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivativeWasfi Shatanawi0Mohammed S. Abdo1Mansour A. Abdulwasaa2Kamal Shah3Satish K. Panchal4Sunil V. Kawale5Kirtiwant P. Ghadle6Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan; Department of Mathematics, Hashemite University, Zarqa, Jordan; Corresponding author.Department of Mathematics, Hodeidah University, Al-Hodeidah, Yemen; Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S), IndiaDepartment of Statistics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S), IndiaDepartment of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, PakistanDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S), IndiaDepartment of Statistics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S), IndiaDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, (M.S), IndiaIn the present paper, we formulate novel fractional tuberculosis (TB) model with a generalized Atangana–Baleanu (GAB) fractional derivative. The parameters in this model are fitted from the real statistical data of cases of TB infections in Yemen from 2000 to 2019. Firstly, pulmonary TB cases of infected people in Yemen during the period (2000–2019) were studied and analyzed. The future trends for possible cases of pulmonary tuberculosis in Yemen for the years (2020–2021) were predicted using the Expert Modeler model and apply statistical analysis programs (SPSS, version23 & Eviews, 9). In addition, we have investigated the spread of TB in Yemen and compared it with some countries around the world. Further, the fundamental properties of this novel fractional tuberculosis (TB) model with a generalized Atangana–Baleanu (GAB) fractional derivative are given. The fixed point theory is used to obtained existence and uniqueness results for this model. Finally, the solutions are obtained using iterative techniques of Adams–Bashforth and are presented using graphical simulations. Here we get numerical values of parameters used in this novel model to display the significance of our novel model, which provides useful information about the dynamics of spread and control of TB.http://www.sciencedirect.com/science/article/pii/S221137972100807XForecastingTuberculosis (TB) modelAtangana–Baleanu (AB) operatorsFixed point theoremAdams–Bashforth technique |
| spellingShingle | Wasfi Shatanawi Mohammed S. Abdo Mansour A. Abdulwasaa Kamal Shah Satish K. Panchal Sunil V. Kawale Kirtiwant P. Ghadle A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative Results in Physics Forecasting Tuberculosis (TB) model Atangana–Baleanu (AB) operators Fixed point theorem Adams–Bashforth technique |
| title | A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative |
| title_full | A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative |
| title_fullStr | A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative |
| title_full_unstemmed | A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative |
| title_short | A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative |
| title_sort | fractional dynamics of tuberculosis tb model in the frame of generalized atangana baleanu derivative |
| topic | Forecasting Tuberculosis (TB) model Atangana–Baleanu (AB) operators Fixed point theorem Adams–Bashforth technique |
| url | http://www.sciencedirect.com/science/article/pii/S221137972100807X |
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