Abstract
Human papillomavirus (HPV) has been a prevalent virus for a long time. The number of cancer cases from benign tumours is constantly increasing and HPV is playing an important role, more aggressively is evolving as cervical cancer in young females. More than 170 types of HPV virus exists and among them some are “High-risk” variety, some are “Low-risk” variety. The control of this virus outbreak remains a challenge till date. The aim of this study is to investigate the role of vaccination as a control strategy in decreasing of the spread of the disease. In this research article, we formulated a model considering high-risk-type HPV, low-risk-type HPV, and low–high risk (infected by both low-risk and high-risk)-type HPV. We derive the basic reproduction ratio and also show that there exists a disease-free equilibrium, which is locally asymptotically stable. Furthermore, an analysis is then performed on crucial parameters in order to determine their importance and potential impact on HPV dynamics. Our analytical and numerical analysis reveals that HPV infection can be reduced by using vaccination as a control strategy.
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Acknowledgements
The research is supported by Government of India, DST PURSE and UGC DRS Programme, Department of Mathematics, Jadavpur University. Sonia Chowdhury is supported by UGC - Dr.D.S. Kothari Post Doctoral Fellowship (No. F.4-2/2006(BSR)/MA/14-15/0038, 5 May 2015).
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Chakraborty, S., Pal, J., Chowdhury, S., Roy, P.K. (2017). The Impact of Vaccination to Control Human Papillomavirus Dynamics. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Industrial Mathematics and Complex Systems. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3758-0_16
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DOI: https://doi.org/10.1007/978-981-10-3758-0_16
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