Open Access

ARTICLE

Design of Computer Methods for the Solution of Cervical Cancer Epidemic Model

by Ali Raza¹, Muhammad Rafiq², Dalal Alrowaili³, Nauman Ahmed⁴, Ilyas Khan^5,*, Kottakkaran Sooppy Nisar⁶, Muhammad Mohsin⁷

1 Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan
2 Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, 54500, Pakistan
3 Mathematics Department, College of Science, Jouf University, P. O. Box: 2014, Sakaka, Saudi Arabia
4 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
5 Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia
6 Department of Mathematics, College of Arts and Science at Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Alkharj, 11991, Kingdom of Saudi Arabia
7 Department of Mathematics, Technische Universitat Chemnitz, Germany

* Corresponding Author: Ilyas Khan. Email:

(This article belongs to the Special Issue: Role of Computer in Modelling & Solving Real-World Problems)

Computers, Materials & Continua 2022, 70(1), 1649-1666. https://doi.org/10.32604/cmc.2022.019148

Received 04 April 2021; Accepted 15 May 2021; Issue published 07 September 2021

Abstract

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.

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