Between Host Model for Cervical Cancer Incorporating Diagnosis

Abstract

In this paper a mathematical model describing a between host cervical cancer infection incorporating diagnosis was formulated and analysed. The qualitative analysis of model showed that the infection dynamics can best be described by the threshold value R0B , in which for the value of R0B < 1 the infection free equilibrium is globally asymptotically stable. This implies that we do not expect the disease outbreak for life. Thus, the disease will die out of the population. The endemic states are shown to exist provided that the reproduction number is greater than unity R0B > 1 . By use of Routh-Hurwitz criterion and suitable Lyapunov functions, the endemic states are shown to be locally and globally asymptotically stable respectively. This implies that disease transmission levels can be kept quite low or manageable with minimal deaths at the peak times of the re-occurrences. The numerical results show that the disease related mortality is eradicated if diagnosis is done at an early stage hence late diagnosis increases the risk of cervical cancer infection among the infected individuals.