Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives
Fractional-order derivative modeling continues to receive great interest among researchers across the globe. In this study, Tuberculosis-COVID-19 coinfection is studied using Atangana–Baleanu fractional-order derivatives defined in Caputo sense. We confirmed the existence and singularity of the solu...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2023/2831846 |
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| author | Samuel Okyere Joseph Ackora-Prah Saleem Abdullah Samuel Akwasi Adarkwa Frank Kofi Owusu Kwame Bonsu Mary Osei Fokuo Mary Ann Yeboah |
| author_facet | Samuel Okyere Joseph Ackora-Prah Saleem Abdullah Samuel Akwasi Adarkwa Frank Kofi Owusu Kwame Bonsu Mary Osei Fokuo Mary Ann Yeboah |
| author_sort | Samuel Okyere |
| collection | DOAJ |
| description | Fractional-order derivative modeling continues to receive great interest among researchers across the globe. In this study, Tuberculosis-COVID-19 coinfection is studied using Atangana–Baleanu fractional-order derivatives defined in Caputo sense. We confirmed the existence and singularity of the solution and investigated the model’s equilibrium points. Additionally, we examined the model’s stability in terms of the Ulam–Hyers and generalized Ulam–Hyers stability criteria. The basic reproduction number R0 was calculated using the next-generation matrix approach. We also looked into the model’s disease-free equilibrium point’s regional stability. Numerical scheme for simulating the fractional-order system with Mittag–Leffler Kernels are presented. Numerical simulations are given to validate the model. Results of the simulation showed a decline in the number of COVID-19 infections within the population when the fractional operator was reduced. |
| format | Article |
| id | doaj-art-2d2c1c7d1c934ca8a1efc14ae55131c0 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2d2c1c7d1c934ca8a1efc14ae55131c02025-02-03T01:29:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/2831846Analysis of Turberculosis-COVID-19 Coinfection Using Fractional DerivativesSamuel Okyere0Joseph Ackora-Prah1Saleem Abdullah2Samuel Akwasi Adarkwa3Frank Kofi Owusu4Kwame Bonsu5Mary Osei Fokuo6Mary Ann Yeboah7Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Statistical SciencesDepartment of Statistical SciencesDepartment of MathematicsDepartment of MathematicsDepartment of Statistical SciencesFractional-order derivative modeling continues to receive great interest among researchers across the globe. In this study, Tuberculosis-COVID-19 coinfection is studied using Atangana–Baleanu fractional-order derivatives defined in Caputo sense. We confirmed the existence and singularity of the solution and investigated the model’s equilibrium points. Additionally, we examined the model’s stability in terms of the Ulam–Hyers and generalized Ulam–Hyers stability criteria. The basic reproduction number R0 was calculated using the next-generation matrix approach. We also looked into the model’s disease-free equilibrium point’s regional stability. Numerical scheme for simulating the fractional-order system with Mittag–Leffler Kernels are presented. Numerical simulations are given to validate the model. Results of the simulation showed a decline in the number of COVID-19 infections within the population when the fractional operator was reduced.http://dx.doi.org/10.1155/2023/2831846 |
| spellingShingle | Samuel Okyere Joseph Ackora-Prah Saleem Abdullah Samuel Akwasi Adarkwa Frank Kofi Owusu Kwame Bonsu Mary Osei Fokuo Mary Ann Yeboah Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives International Journal of Mathematics and Mathematical Sciences |
| title | Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives |
| title_full | Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives |
| title_fullStr | Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives |
| title_full_unstemmed | Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives |
| title_short | Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives |
| title_sort | analysis of turberculosis covid 19 coinfection using fractional derivatives |
| url | http://dx.doi.org/10.1155/2023/2831846 |
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