Epidemic Control of Hepatitis C Virus using Barrier function based Adaptive Double integral sliding mode Controller

Abstract

This research work deals with the epidemic control of Hepatitis C virus in different so cieties. HCV is a severe liver disease which usually has no noticeable symptoms even in extreme cases, that is why HCV is also termed as ‘Silent Epidemic’. It has two major stages, the first stage is called acute infection which is minor liver infection but the next stage can cause serious health problems which can even lead to death is called chronic infection.There is a need to control the epidemic of the disease as there is no proper vaccination available till date.Direct Anti-Agents DAA’s are available but they are so expensive and are beyond the access of a common man.In this paper, a compartmental model of HCV epidemiology is proposed which is comprised of five major compartments including aware and unaware susceptible cells, chronically infected, acutely infected and treated individuals.The main objective is to minimize the unaware and chronically infected cases by proper screening and treatment scenarios to control the spread of the infection. For the first time, Barrier function based nonlinear double integral sliding mode controller is applied to control the endemic of populations and to track them to a reference level by specifying rates of social awareness and treatment procedures as control inputs. For analysis, the suggested controller is simulated in MATLAB/Simulink. Results show that double integral sliding mode controller (DISMC) can control the HCV outbreak to a de fined criterion by optimizing unaware susceptible, aware susceptible, chronically infected people and treated individuals.