Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method
The present work investigates a novel time-fractional model for monkeypox using the Caputo fractional operator, with a focus on vaccinated, quarantined, and hospitalized individuals. Utilizing the fractional variational iteration method, we derived numerical outcomes demonstrating the convergence an...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004121 |
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| author | M. Manivel A. Venkatesh K. Arun Kumar M. Prakash Raj Sunday Emmanuel Fadugba Malesela Kekana |
| author_facet | M. Manivel A. Venkatesh K. Arun Kumar M. Prakash Raj Sunday Emmanuel Fadugba Malesela Kekana |
| author_sort | M. Manivel |
| collection | DOAJ |
| description | The present work investigates a novel time-fractional model for monkeypox using the Caputo fractional operator, with a focus on vaccinated, quarantined, and hospitalized individuals. Utilizing the fractional variational iteration method, we derived numerical outcomes demonstrating the convergence and positivity of the solutions, which align with empirical data. The results confirm the reliability and effectiveness of fractional derivatives in capturing memory effects inherent to disease progression. Our findings reveal that the Caputo fractional variational approach provides a superior framework for modeling complex dynamics of monkeypox transmission across human and rodent populations. This leads to a more comprehensive understanding of the potential of fractional calculus in epidemiological modeling, offering robust predictions for managing outbreaks and informing public health interventions. |
| format | Article |
| id | doaj-art-66bf7cd38c004146afceb847e0045883 |
| institution | OA Journals |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-66bf7cd38c004146afceb847e00458832025-08-20T01:58:30ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-011310102610.1016/j.padiff.2024.101026Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration methodM. Manivel0A. Venkatesh1K. Arun Kumar2M. Prakash Raj3Sunday Emmanuel Fadugba4Malesela Kekana5Department of Mathematics, A.V.V.M. Sri Pushpam College (Affiliated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, IndiaDepartment of Mathematics, A.V.V.M. Sri Pushpam College (Affiliated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, India; Corresponding author.Department of Mathematics, A.V.V.M. Sri Pushpam College (Affiliated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, IndiaDepartment of Mathematics, A.V.V.M. Sri Pushpam College (Affiliated to Bharathidasan University, Tiruchirappalli), Poondi, Thanjavur, 613503, Tamilnadu, IndiaDepartment of Mathematics, Ekiti State University, Ado Ekiti, NigeriaDepartment of Mathematics and Statistics, Tshwane University of Technology, Pretoria, South AfricaThe present work investigates a novel time-fractional model for monkeypox using the Caputo fractional operator, with a focus on vaccinated, quarantined, and hospitalized individuals. Utilizing the fractional variational iteration method, we derived numerical outcomes demonstrating the convergence and positivity of the solutions, which align with empirical data. The results confirm the reliability and effectiveness of fractional derivatives in capturing memory effects inherent to disease progression. Our findings reveal that the Caputo fractional variational approach provides a superior framework for modeling complex dynamics of monkeypox transmission across human and rodent populations. This leads to a more comprehensive understanding of the potential of fractional calculus in epidemiological modeling, offering robust predictions for managing outbreaks and informing public health interventions.http://www.sciencedirect.com/science/article/pii/S2666818124004121Analysis of convergenceCaputo fractional derivativeEpidemiologyMonkeypox virusVariational iteration method |
| spellingShingle | M. Manivel A. Venkatesh K. Arun Kumar M. Prakash Raj Sunday Emmanuel Fadugba Malesela Kekana Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method Partial Differential Equations in Applied Mathematics Analysis of convergence Caputo fractional derivative Epidemiology Monkeypox virus Variational iteration method |
| title | Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method |
| title_full | Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method |
| title_fullStr | Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method |
| title_full_unstemmed | Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method |
| title_short | Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method |
| title_sort | quantitative modeling of monkeypox viral transmission using caputo fractional variational iteration method |
| topic | Analysis of convergence Caputo fractional derivative Epidemiology Monkeypox virus Variational iteration method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124004121 |
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