A Modified Computational Scheme and Convergence Analysis for Fractional Order Hepatitis E Virus Model
Ved Prakash Dubey, Devendra Kumar, Sarvesh Dubey
Abstract
In this chapter, a hepatitis E model involving a fractional derivative describing the viral dynamics of hepatitis E is explored and investigated via semi-analytical hybrid scheme pertaining to homotopy polynomials and the Sumudu transform algorithm. The hepatitis E virus (HEV) badly affects the liver through inflammation in early stages of the disease. The Caputo fractional derivative is engaged to analyze the dynamics of an HEV model. Employing graphical presentations, the proposed study explores the consequences of the variations of fractional order of a time derivative and time t on susceptible, exposed, infected, and recovered populations. The role of environment is also considered in disease dynamics of the hepatitis E model. This work strongly authenticates the computational strength of the employed scheme. Moreover, the uniqueness and convergence analysis of the method are also established in this study with the aid of fixed point theory of Banach spaces.