Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control
ABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease. This model was studied through the Caputo fractional deri...
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| Format: | Article |
| Language: | English |
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Wiley
2025-05-01
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| Series: | Engineering Reports |
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| Online Access: | https://doi.org/10.1002/eng2.70144 |
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| author | Fredrick Asenso Wireko Joshua Nii Martey Isaac Kwasi Adu Bright Emmanuel Owusu Sebastian Ndogum Joshua Kiddy K. Asamoah |
| author_facet | Fredrick Asenso Wireko Joshua Nii Martey Isaac Kwasi Adu Bright Emmanuel Owusu Sebastian Ndogum Joshua Kiddy K. Asamoah |
| author_sort | Fredrick Asenso Wireko |
| collection | DOAJ |
| description | ABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease. This model was studied through the Caputo fractional derivative as the Mpox disease has been shown to have memory dynamics. We discussed the existence and uniqueness of the Mpox disease model. Again, through the Hyers‐Ulam and Hyers‐Ulam‐Rassias stability criteria, we have shown that the model is resilient to unexpected changes in the population. A thorough sensitivity study was performed on the model. It was observed that the effective implementation of the double‐dose vaccination and minimizing direct contact between the infected and the uninfected could help eradicate the Mpox disease from the population. In the numerical simulation section, the dynamics of the memory effect in the model were explicitly exhibited as the disease continuously declined whenever ω=0.80. Finally, we have shown that an effective implementation of isolation and treatment measures contributes massively to controlling the Mpox disease in the population. |
| format | Article |
| id | doaj-art-417025a33e2944908ef6a8f53d44fc3f |
| institution | OA Journals |
| issn | 2577-8196 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Wiley |
| record_format | Article |
| series | Engineering Reports |
| spelling | doaj-art-417025a33e2944908ef6a8f53d44fc3f2025-08-20T02:34:10ZengWileyEngineering Reports2577-81962025-05-0175n/an/a10.1002/eng2.70144Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox ControlFredrick Asenso Wireko0Joshua Nii Martey1Isaac Kwasi Adu2Bright Emmanuel Owusu3Sebastian Ndogum4Joshua Kiddy K. Asamoah5Department of Mathematics Kwame Nkrumah University of Science and Technology Kumasi GhanaDepartment of Mathematics African Institute for Mathematical Sciences Accra GhanaDepartment of Mathematical Sciences Kumasi Technical University Kumasi GhanaDepartment of Mathematics Kwame Nkrumah University of Science and Technology Kumasi GhanaDepartment of Mathematics Kwame Nkrumah University of Science and Technology Kumasi GhanaDepartment of Mathematics Kwame Nkrumah University of Science and Technology Kumasi GhanaABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease. This model was studied through the Caputo fractional derivative as the Mpox disease has been shown to have memory dynamics. We discussed the existence and uniqueness of the Mpox disease model. Again, through the Hyers‐Ulam and Hyers‐Ulam‐Rassias stability criteria, we have shown that the model is resilient to unexpected changes in the population. A thorough sensitivity study was performed on the model. It was observed that the effective implementation of the double‐dose vaccination and minimizing direct contact between the infected and the uninfected could help eradicate the Mpox disease from the population. In the numerical simulation section, the dynamics of the memory effect in the model were explicitly exhibited as the disease continuously declined whenever ω=0.80. Finally, we have shown that an effective implementation of isolation and treatment measures contributes massively to controlling the Mpox disease in the population.https://doi.org/10.1002/eng2.70144Caputo derivativespost‐exposure vaccinationpre‐exposure vaccinationsimulations |
| spellingShingle | Fredrick Asenso Wireko Joshua Nii Martey Isaac Kwasi Adu Bright Emmanuel Owusu Sebastian Ndogum Joshua Kiddy K. Asamoah Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control Engineering Reports Caputo derivatives post‐exposure vaccination pre‐exposure vaccination simulations |
| title | Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control |
| title_full | Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control |
| title_fullStr | Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control |
| title_full_unstemmed | Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control |
| title_short | Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control |
| title_sort | modeling the impact of double dose vaccination and saturated transmission dynamics on mpox control |
| topic | Caputo derivatives post‐exposure vaccination pre‐exposure vaccination simulations |
| url | https://doi.org/10.1002/eng2.70144 |
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