Modelling the Impact of Spread of Human Papillomavirus Infections under Vaccination in Kenya
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Date
2022
Authors
Malia, Miriam
Chepkwony, Isaac
Malonza, David
Journal Title
Journal ISSN
Volume Title
Publisher
(EJ-MATH
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. Very
few mathematical models have been developed on HPV awareness in Kenya. In this study we
developed a deterministic model on the impact of HPV infection under vaccination. In this model
we incorporated an ineffective media awareness. We computed the equilibrium points of the
model and local and global stability analysis was conducted on the reproduction number. The
numerical simulation results show that the HPV infections continue to stay in the community due
to the ineffective mass media awareness. Sensitivity analysis show that the infection contact rate
𝜷_𝟏𝟏 and negative attitudes influencing condom use rate 𝜹𝒄are parameters that contribute to the
persistence of HPV infections in the community.
Description
article
Keywords
Human Papillomavirus (HPV), Latin Hypercube Sampling (LHS), Partial Rank Correlation Coefficient (PRCC)
Citation
Malia, M., Chepkwony, I., & Malonza, D. (2022). Modelling the impact of spread of human papillomavirus infections under vaccination in Kenya. European Journal of Mathematics and Statistics, 3(4), 17-26.