Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer
We develop a deterministic mathematical model to investigate the transmission dynamics of human papillomavirus (HPV) and its impact on cervical cancer. The model divides the population into six classes: susceptible individuals St, first vaccinated individuals Vt, permanently immunized individuals Pt...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/ddns/9971859 |
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| author | Henok Desalegn Desta Getachew Teshome Tilahun Tariku Merga Tolasa Mulugeta Geremew Geleso |
| author_facet | Henok Desalegn Desta Getachew Teshome Tilahun Tariku Merga Tolasa Mulugeta Geremew Geleso |
| author_sort | Henok Desalegn Desta |
| collection | DOAJ |
| description | We develop a deterministic mathematical model to investigate the transmission dynamics of human papillomavirus (HPV) and its impact on cervical cancer. The model divides the population into six classes: susceptible individuals St, first vaccinated individuals Vt, permanently immunized individuals Pt, HPV-infected individuals IHPVt, HPV-infected individuals with cervical cancer Ct, and recovered individuals Rt. The study includes analyzing the stability of the disease-free and endemic equilibriums. The analysis reveals that the disease-free equilibrium is locally asymptotically stable when the average number of secondary HPV-infectious individuals (R0) is less than one and unstable when it is greater than one. A stable local endemic equilibrium occurs when the average number of secondary HPV-infectious individuals exceeds one, indicating the persistence of the disease in the community. The value of R0 is derived using the next-generation matrix approach, revealing that HPV-infected individuals persist in the community. MATLAB 2015a is used to represent the simulation findings visually. The numerical simulation suggests that increasing vaccination coverage and the recovery rate helps to reduce HPV-infected individuals while reducing the contact rate can effectively control disease transmission. |
| format | Article |
| id | doaj-art-b6b047fd6342456e96a69fd2b7c0974f |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b6b047fd6342456e96a69fd2b7c0974f2025-01-03T00:00:05ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/ddns/9971859Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical CancerHenok Desalegn Desta0Getachew Teshome Tilahun1Tariku Merga Tolasa2Mulugeta Geremew Geleso3Department of MathematicsDepartment of MathematicsDepartment of MathematicsNational Data Management CenterWe develop a deterministic mathematical model to investigate the transmission dynamics of human papillomavirus (HPV) and its impact on cervical cancer. The model divides the population into six classes: susceptible individuals St, first vaccinated individuals Vt, permanently immunized individuals Pt, HPV-infected individuals IHPVt, HPV-infected individuals with cervical cancer Ct, and recovered individuals Rt. The study includes analyzing the stability of the disease-free and endemic equilibriums. The analysis reveals that the disease-free equilibrium is locally asymptotically stable when the average number of secondary HPV-infectious individuals (R0) is less than one and unstable when it is greater than one. A stable local endemic equilibrium occurs when the average number of secondary HPV-infectious individuals exceeds one, indicating the persistence of the disease in the community. The value of R0 is derived using the next-generation matrix approach, revealing that HPV-infected individuals persist in the community. MATLAB 2015a is used to represent the simulation findings visually. The numerical simulation suggests that increasing vaccination coverage and the recovery rate helps to reduce HPV-infected individuals while reducing the contact rate can effectively control disease transmission.http://dx.doi.org/10.1155/ddns/9971859 |
| spellingShingle | Henok Desalegn Desta Getachew Teshome Tilahun Tariku Merga Tolasa Mulugeta Geremew Geleso Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer Discrete Dynamics in Nature and Society |
| title | Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer |
| title_full | Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer |
| title_fullStr | Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer |
| title_full_unstemmed | Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer |
| title_short | Mathematical Model of Human Papillomavirus (HPV) Dynamics With Double-Dose Vaccination and Its Impact on Cervical Cancer |
| title_sort | mathematical model of human papillomavirus hpv dynamics with double dose vaccination and its impact on cervical cancer |
| url | http://dx.doi.org/10.1155/ddns/9971859 |
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