Design of computer methods for the solution of cervical cancer epidemic model

Nonlinear modelling has a significant role in different disciplines of sciences such as behavioral, social, physical and biological sciences. The structural properties are also needed for such types of disciplines, as dynamical consistency, positivity and boundedness are the major requirements of the models in these fields. One more thing, this type of nonlinear model has no explicit solutions. For the sake of comparison its computation will be done by using different computational techniques. Regrettably, the aforementioned structural properties have not been restored in the existing computational techniques in literature. Therefore, the construction of structural preserving computational techniques are needed. The nonlinear model for cervical cancer is constructed by parametric perturbation technique. Well-known computer methods are considered for the computation of cervical cancer dynamics. The well-known existing methods in literature are Euler Maruyama, Euler and Runge Kutta. Nonstandard finite difference method or Implicitly driven explicit method is first time considered for aforesaid model under the assumptions given by Mickens in a stochastic way. Unfortunately, the aforementioned existing methods did not reinstate structural properties of cervical cancer dynamics in the human population. Our planned method is structural preserving and a powerful tool for all nonlinear models of biomedical engineering problems. We have verified that existing computational methods do not preserve dynamical properties. But, the implicitly driven explicit method is a good device for dynamical properties. In the support of assertions, convergence analysis of implicitly driven explicit method is presented.