Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission
The impact of vaccination on the dynamics of hand, foot, and mouth disease (HFMD) transmission is explored in this paper, considering a fractional-order derivative system of equations. This model provides vaccination strategies and characterizes local and global stability using Lyapunov functions. T...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/268 |
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| author | Zuhur Alqahtani Mahmoud H. DarAssi Yousef AbuHour Areej Almuneef |
| author_facet | Zuhur Alqahtani Mahmoud H. DarAssi Yousef AbuHour Areej Almuneef |
| author_sort | Zuhur Alqahtani |
| collection | DOAJ |
| description | The impact of vaccination on the dynamics of hand, foot, and mouth disease (HFMD) transmission is explored in this paper, considering a fractional-order derivative system of equations. This model provides vaccination strategies and characterizes local and global stability using Lyapunov functions. This work computes the basic reproduction number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula>) to represent the endemic and epidemic scenarios. Additionally, sensitivity analysis was performed to identify the most critical parameters responsible for the disease dissemination. Our results indicate that vaccination plays a crucial role in controlling HFMD, significantly reducing its prevalence. These findings align with existing research, supporting the importance of effective vaccination strategies and public health interventions against HFMD. The fractional-order model captures the memory effect in infectious disease dynamics, providing further insight into modeling HFMD transmission compared to a traditional integer-order model. The results would contribute to effective vaccination strategies and public health interventions against HFMD. |
| format | Article |
| id | doaj-art-c413783d0870450db827bf1f7685f0e6 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-c413783d0870450db827bf1f7685f0e62025-01-24T13:39:58ZengMDPI AGMathematics2227-73902025-01-0113226810.3390/math13020268Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease TransmissionZuhur Alqahtani0Mahmoud H. DarAssi1Yousef AbuHour2Areej Almuneef3Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, JordanDepartment of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, JordanDepartment of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaThe impact of vaccination on the dynamics of hand, foot, and mouth disease (HFMD) transmission is explored in this paper, considering a fractional-order derivative system of equations. This model provides vaccination strategies and characterizes local and global stability using Lyapunov functions. This work computes the basic reproduction number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mn>0</mn></msub></semantics></math></inline-formula>) to represent the endemic and epidemic scenarios. Additionally, sensitivity analysis was performed to identify the most critical parameters responsible for the disease dissemination. Our results indicate that vaccination plays a crucial role in controlling HFMD, significantly reducing its prevalence. These findings align with existing research, supporting the importance of effective vaccination strategies and public health interventions against HFMD. The fractional-order model captures the memory effect in infectious disease dynamics, providing further insight into modeling HFMD transmission compared to a traditional integer-order model. The results would contribute to effective vaccination strategies and public health interventions against HFMD.https://www.mdpi.com/2227-7390/13/2/268hand–foot–mouthstability analysisLyapunov functionsensitivity analysisequilibria |
| spellingShingle | Zuhur Alqahtani Mahmoud H. DarAssi Yousef AbuHour Areej Almuneef Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission Mathematics hand–foot–mouth stability analysis Lyapunov function sensitivity analysis equilibria |
| title | Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission |
| title_full | Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission |
| title_fullStr | Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission |
| title_full_unstemmed | Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission |
| title_short | Assessing the Role of Vaccination in the Control of Hand, Foot, and Mouth Disease Transmission |
| title_sort | assessing the role of vaccination in the control of hand foot and mouth disease transmission |
| topic | hand–foot–mouth stability analysis Lyapunov function sensitivity analysis equilibria |
| url | https://www.mdpi.com/2227-7390/13/2/268 |
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