Open AccessModeling the Impact of Screening on the Transmission Dynamics of Human Papillomavirus with Optimal Control
Author(s) -
Eshetu Gurmu,
Boka Kumsa Bola,
Purnachandra Rao Koya
Publication year - 2021
Publication title -
wseas transactions on systems and control/wseas transactions on systems and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.174
H-Index - 16
eISSN - 2224-2856
pISSN - 1991-8763
DOI - 10.37394/23203.2021.16.66
Subject(s) - optimal control , stability (learning theory) , basic reproduction number , sensitivity (control systems) , transmission (telecommunications) , maximum principle , nonlinear system , control theory (sociology) , human papillomavirus , mathematical optimization , bifurcation , computer science , mathematics , control (management) , medicine , engineering , physics , artificial intelligence , population , machine learning , telecommunications , environmental health , quantum mechanics , electronic engineering
In this study, a nonlinear deterministic mathematical model of Human Papillomavirus was formulated. The model is studied qualitatively using the stability theory of differential equations. The model is analyzed qualitatively for validating the existence and stability of disease ¬free and endemic equilibrium points using a basic reproduction number that governs the disease transmission. It's observed that the model exhibits a backward bifurcation and the sensitivity analysis is performed. The optimal control problem is designed by applying Pontryagin maximum principle with three control strategies viz. prevention strategy, treatment strategy, and screening strategy. Numerical results of the optimal control model reveal that a combination of prevention, screening, and treatment is the most effective strategy to wipe out the disease in the community.