Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss
Hearing loss is a growing public health concern with serious implications for an individual's quality of life. This paper proposes a mathematical model that describes the dynamics of the spread of mumps and the associated risk of hearing loss caused by mumps infection. The model incorporates k...
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| Format: | Article |
| Language: | English |
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Tikrit University
2025-08-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://www.tjpsj.org/index.php/tjps/article/view/1861 |
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| author | Karmand Khdr Ahmad Grace O. Agaba Bootan Rahman |
| author_facet | Karmand Khdr Ahmad Grace O. Agaba Bootan Rahman |
| author_sort | Karmand Khdr Ahmad |
| collection | DOAJ |
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Hearing loss is a growing public health concern with serious implications for an individual's quality of life. This paper proposes a mathematical model that describes the dynamics of the spread of mumps and the associated risk of hearing loss caused by mumps infection. The model incorporates key epidemiological factors and considers the role of vaccination and quarantine as control measures. Mathematical analysis of the model was carried out to ensure positivity and boundedness of solutions over time. The model exhibits two steady states: a mumps-free steady state and a mumps-endemic steady state. Stability and sensitivity analyses show the effectiveness of quarantine and administering vaccine in minimizing the spread of mumps and consequently mitigating hearing loss. Though, quarantine has high significant impact on the dynamics with first dose of vaccination, the outcome after the second dose of vaccination is far better. In addition, the findings emphasize the importance of certain parameters in shaping the disease dynamics and offer guidance on effective intervention strategies. The study underscores the role of vaccination and quarantine in mitigating the impact of mumps-induced hearing loss.
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| format | Article |
| id | doaj-art-e5bcb396cc074fadac684916eddc08f1 |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-e5bcb396cc074fadac684916eddc08f12025-08-26T02:38:17ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262025-08-0130410.25130/tjps.v30i4.1861Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing LossKarmand Khdr Ahmad0https://orcid.org/0009-0007-1806-7341Grace O. Agaba1https://orcid.org/0000-0002-2198-9845Bootan Rahman2https://orcid.org/0000-0002-6695-155XDepartment of Mathematics, Faculty of science, Soran University, Soran, Erbil, Kurdistan region, Iraq2Department of Mathematics and Computer Science, Benue State University, Makurdi, NigeriaMathematics Unit, School of Science and Engineering, University of Kurdistan Hewlêr (UKH), Erbil, Kurdistan Region, Iraq Hearing loss is a growing public health concern with serious implications for an individual's quality of life. This paper proposes a mathematical model that describes the dynamics of the spread of mumps and the associated risk of hearing loss caused by mumps infection. The model incorporates key epidemiological factors and considers the role of vaccination and quarantine as control measures. Mathematical analysis of the model was carried out to ensure positivity and boundedness of solutions over time. The model exhibits two steady states: a mumps-free steady state and a mumps-endemic steady state. Stability and sensitivity analyses show the effectiveness of quarantine and administering vaccine in minimizing the spread of mumps and consequently mitigating hearing loss. Though, quarantine has high significant impact on the dynamics with first dose of vaccination, the outcome after the second dose of vaccination is far better. In addition, the findings emphasize the importance of certain parameters in shaping the disease dynamics and offer guidance on effective intervention strategies. The study underscores the role of vaccination and quarantine in mitigating the impact of mumps-induced hearing loss. https://www.tjpsj.org/index.php/tjps/article/view/1861Hearing loss, Mumps, reproduction number, mathematical model, stability analysis. |
| spellingShingle | Karmand Khdr Ahmad Grace O. Agaba Bootan Rahman Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss Tikrit Journal of Pure Science Hearing loss, Mumps, reproduction number, mathematical model, stability analysis. |
| title | Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss |
| title_full | Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss |
| title_fullStr | Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss |
| title_full_unstemmed | Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss |
| title_short | Modelling the Impact of Vaccination and Quarantine in the Dynamics of Mumps Infection with Hearing Loss |
| title_sort | modelling the impact of vaccination and quarantine in the dynamics of mumps infection with hearing loss |
| topic | Hearing loss, Mumps, reproduction number, mathematical model, stability analysis. |
| url | https://www.tjpsj.org/index.php/tjps/article/view/1861 |
| work_keys_str_mv | AT karmandkhdrahmad modellingtheimpactofvaccinationandquarantineinthedynamicsofmumpsinfectionwithhearingloss AT graceoagaba modellingtheimpactofvaccinationandquarantineinthedynamicsofmumpsinfectionwithhearingloss AT bootanrahman modellingtheimpactofvaccinationandquarantineinthedynamicsofmumpsinfectionwithhearingloss |