Modelling the impact of vaccination and screening on the dynamics of human papillomavirus infection
International Journal of Mathematical Analysis
Department of Mathematics, University of Dar es Salaam, Box 35062, Dar es Salaam, Tanzania; Box 8944, Dar es Salaam, Tanzania
While human papillomavirus has been a recognized disease for a long time, the control of outbreaks remains a challenge. The aim of this study is to investigate the role of screening and vaccination as control strategies in curtailing the spread of the disease. Using the next generation matrix, the disease free equilibrium has be shown to be asymptotically stable. Furthermore, sensitivity analysis is then per-formed on the key parameters driving HPV dynamics in order to detrmine their relative importance and potential impact in HPV dynamics and to dertmine the impacts of vaccination and screening in the spread of HPV. Numerical results in-dicate that HPV infection can be reduced hwn both interventions, that is screenig and vaccination, are implemented in order to reduce the burden of the disease.Copyright. © 2014 Nyimvua Shaban and Hawa Mofi.