Mathematical Model of Cervical Cancer Incorporating Prevention Measures Against the Disease
Jacinta M. Mutwiwa *
Department of Mathematics, Kibabii University, Kenya.
Mulambula Andanje
Department of Mathematics, Kibabii University, Kenya.
*Author to whom correspondence should be addressed.
Abstract
Cervical cancer caused by human papillomavirus (HPV) has attracted more attention due to its social economic ramifications and its complex behavior. Even with the introduction of routine screening programs and vaccination, the disease prevalence remains high especially in Sub-saharan Africa. However, Cervical cancer is a major preventable public health problem. Due to the high cost of treatment, prevention against the infection may be preferable in scarce resource settings. In this paper a deterministic model incorporating prevention against cervical cancer infection is considered. The model is shown to be positively invariant as well as bounded. The endemic states are shown to exist provided that the reproduction number is greater than unity R0 > 1. By use of Routh Hurwitz criterion and suitable Lyapunov functions, the endemic states are shown to be locally and globally asymptotically stable respectively. Numerical simulations indicate that enhanced cervical cancer prevention lowers new incidences and hence low disease prevalence rates. Therefore, public awareness campaign efforts on protective measures against cervical cancer should be enhanced.
Keywords: Protection, cervical cancer, human papilloma virus, reproduction number