Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel
Monkeypox (MPX) is a global public health concern. This infectious disease affects people all over the world, not just those in West and Central Africa. Various approaches have been used to study epidemiology, the source of infection, and patterns of transmission of MPX. In this article, we analyze...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023287?viewType=HTML |
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| author | Alia M. Alzubaidi Hakeem A. Othman Saif Ullah Nisar Ahmad Mohammad Mahtab Alam |
| author_facet | Alia M. Alzubaidi Hakeem A. Othman Saif Ullah Nisar Ahmad Mohammad Mahtab Alam |
| author_sort | Alia M. Alzubaidi |
| collection | DOAJ |
| description | Monkeypox (MPX) is a global public health concern. This infectious disease affects people all over the world, not just those in West and Central Africa. Various approaches have been used to study epidemiology, the source of infection, and patterns of transmission of MPX. In this article, we analyze the dynamics of MPX using a fractional mathematical model with a power law kernel. The human-to-animal transmission is considered in the model formulation. The fractional model is further reformulated via a generalized fractal-fractional differential operator in the Caputo sense. The basic mathematical including the existence and uniqueness of both fractional and fractal-fractional problems are provided using fixed points theorems. A numerical scheme for the proposed model is obtained using an efficient iterative method. Moreover, detailed simulation results are shown for different fractional orders in the first stage. Finally, a number of graphical results of fractal-fractional MPX transmission models are presented showing the combined effect of fractal and fractional orders on model dynamics. The resulting simulations conclude that the new fractal-fractional operator added more biological insight into the dynamics of illness. |
| first_indexed | 2024-04-10T08:53:08Z |
| format | Article |
| id | doaj.art-207cb6ec8e444d6c9be718658e6694bb |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T08:53:08Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-207cb6ec8e444d6c9be718658e6694bb2023-02-22T01:34:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012046666669010.3934/mbe.2023287Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernelAlia M. Alzubaidi 0Hakeem A. Othman1Saif Ullah 2Nisar Ahmad3Mohammad Mahtab Alam41. Department of Mathematics, AL-Qunfudhah University college, Umm Al-Qura University, Saudi Arabia1. Department of Mathematics, AL-Qunfudhah University college, Umm Al-Qura University, Saudi Arabia2. Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan3. Institute of Numerical Sciences Kohat University of Science and Technology (KUST) Kohat, Pakistan4. Department of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, Abha 61421, Saudi ArabiaMonkeypox (MPX) is a global public health concern. This infectious disease affects people all over the world, not just those in West and Central Africa. Various approaches have been used to study epidemiology, the source of infection, and patterns of transmission of MPX. In this article, we analyze the dynamics of MPX using a fractional mathematical model with a power law kernel. The human-to-animal transmission is considered in the model formulation. The fractional model is further reformulated via a generalized fractal-fractional differential operator in the Caputo sense. The basic mathematical including the existence and uniqueness of both fractional and fractal-fractional problems are provided using fixed points theorems. A numerical scheme for the proposed model is obtained using an efficient iterative method. Moreover, detailed simulation results are shown for different fractional orders in the first stage. Finally, a number of graphical results of fractal-fractional MPX transmission models are presented showing the combined effect of fractal and fractional orders on model dynamics. The resulting simulations conclude that the new fractal-fractional operator added more biological insight into the dynamics of illness.https://www.aimspress.com/article/doi/10.3934/mbe.2023287?viewType=HTMLmonkeypox mathematical modelfractal-fractional caputo operatorexistence and uniquenessnumerical results |
| spellingShingle | Alia M. Alzubaidi Hakeem A. Othman Saif Ullah Nisar Ahmad Mohammad Mahtab Alam Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel Mathematical Biosciences and Engineering monkeypox mathematical model fractal-fractional caputo operator existence and uniqueness numerical results |
| title | Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel |
| title_full | Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel |
| title_fullStr | Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel |
| title_full_unstemmed | Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel |
| title_short | Analysis of Monkeypox viral infection with human to animal transmission via a fractional and Fractal-fractional operators with power law kernel |
| title_sort | analysis of monkeypox viral infection with human to animal transmission via a fractional and fractal fractional operators with power law kernel |
| topic | monkeypox mathematical model fractal-fractional caputo operator existence and uniqueness numerical results |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023287?viewType=HTML |
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