Modelling the effects of vaccination and mass-media awareness on the spread of human papillomavirus infections in Kenya
| dc.contributor.author | Malia, Miriam | |
| dc.date.accessioned | 2025-02-24T06:40:29Z | |
| dc.date.available | 2025-02-24T06:40:29Z | |
| dc.date.issued | 2025-08 | |
| dc.description | Thesis submitted in full fulfillment of the requirements for the award of the degree of doctor of philosophy (applied mathematics) in the school of pure and applied sciences of Kenyatta University August, 2024 Supervisors: Dr. Isaac Chepkwony Prof. David Malonza | |
| dc.description.abstract | Human Papillomavirus (HPV), a sexually transmitted virus is a collection of more than 40 types of viruses, some of which are linked to several cancers. HPV type 16 and HPV type 18 are accountable for 70% of cervical cancer cause. Besides cervical cancer, HPV has been linked to several cancers such as anal cancer, oropharyngeal cancer and neck cancer. Mathematical models have been used in the evaluation of control strategies and making of health policies. While some studies may have been done on HPV, majority of them focus on the biological and immunological aspects of the virus. Very few mathematical models have been developed on HPV awareness in Kenya. A model on the effects of mass media awareness on the spread of HPV would be beneficial to cancer managers in coming up with policies that minimize the spread of HPV. In this thesis, we developed two deterministic mathematical models. The first model was on the impact of HPV infection under vaccination. In the second model we looked at HPV infections under vaccination with a mass media awareness campaign that was effective. The equilibrium points of both models are computed and local and global stability analysis is conducted on the reproduction number. Sensitivity analysis is carried out on the model parameters and the results show that the infection contact rate is the crucial parameter that increases HPV while the vaccination rate and rate of treatment parameters help reduce the spread of HPV in the community. The results from the numerical simulations validated the fact that an effective mass media awareness campaigns brought the numbers of HPV infections to equilibrium. Therefore, we conclude that if HPV vaccination and treatment is stressed on and an effective mass media awareness is being carried out then HPV spread in the community will be decreased | |
| dc.description.sponsorship | Kenyatta University | |
| dc.identifier.uri | https://ir-library.ku.ac.ke/handle/123456789/29633 | |
| dc.language.iso | en | |
| dc.publisher | Kenyatta University | |
| dc.title | Modelling the effects of vaccination and mass-media awareness on the spread of human papillomavirus infections in Kenya | |
| dc.type | Thesis |