Mathematical Modelling of Cervical Cancer Vaccination and Treatment
Effectiveness
Abstract
After breast cancer, cervical cancer is the second most frequent cancer
in women globally. The Human Papillomavirus is the most common cause of
cervical cancer. In this paper, we used a nonlinear ordinary
differential equation system to build a mathematical model of cervical
cancer with six compartments (the number of susceptible women,
vaccinations of susceptible women, the infected women with HPV, the
number of infected with cervical cancer, treatment individual, and
recovery class). The model is examined using the existence of bounded
and positive solutions, numerical analysis, sensitivity analysis, and
stability analysis of disease-free and endemic equilibrium points as a
function of R0 values. The numerical simulations of the system are
carried out using the ODE45 subroutine of MATLAB and the results are
revealed using graphs and biologically interpreted. Using numerical
simulation, applying vaccination and increasing treatment for everyone
can help to reduce and control the spread of cervical cancer.