Eur. Phys. J. Plus (2020) 135: 780
https://doi.org/10.1140/epjp/s13360-020-00810-0

Regular Article

The role of diagnosis at early stages to control cervical cancer: a mathematical prediction

¹ Department of Mathematics, Jadavpur University, 700032, Kolkata, India
² Department of Mathematics, Guelma University, 24000, Guelma, Algeria
³ Department of Mathematics, Peter the Great Saint Petersburg Polytechnic University, 195251, Saint Petersburg, Russia

^b amar_debbouche@yahoo.fr

Received: 17 August 2020
Accepted: 25 September 2020
Published online: 6 October 2020

Abstract

This paper deals with cervical cancer which is the second most common cancer in females and a major cause of death in the world now a days. Detection of symptoms of cervical cancer basically focused at an advance stage. But it is possible to detect cancer at an early stage through diagnosis and screening. The detection through diagnosis at early stages provides the incentive for the primary prevention and helps to slow down the rapid progression of cervical cancer. Considering diagnosis system a time-dependent variable, here we formulate a new mathematical model on cervical cancer considering susceptible human population, cancer patients and diagnosis. This model gives a framework for understanding how early diagnosis increases the chances for cancer patients to be cancer free by providing proper treatment. To explore the in-depth study of the system, we find the basic reproduction number . We analyze and compare the local stability of the equilibrium points of both the systems in the presence and absence of diagnosis. We investigate analytically as well as numerically the causal effect of diagnosis for reducing the cancer patient at an early stage. Furthermore, we enhance the role of diagnosis by using optimal control strategies to prevent the cervical cancer.