Toward an Efficient Approximate Solution and Analysis for Hepatitis B Viral Infectious Fractional Mathematical Model

Abstract

Background: This paper illustrates a new fractional mathematical model of the Hepatitis B viral infection disease with conformable fractional derivative operator sense. Objectives: We focused on examining the behaviour, performance, mathematical values representation, and prediction of the non-linear dynamic system of the life-threatening infectious disease. Methods: The effective approximate solution of the multistage optimal homotopy asymptotic (MOHAM) method is employed in the developed fractional mathematical model for numerical solutions and simulations, which stand out amongst existing methods in comparison. The numerical simulations are also formed to investigate the influence of the system parameter on the spread of the disease, validate the fractional-order derivative's importance, and show the effect of fractional parameters on the obtained results. Results: We obtain graphic results for various values of the fractional parameter. Conclusions: The fractional-order derivative provides more knowledge about the complexity of the non-linear dynamics of the suggested Hepatitis B viral infectious disease model.

Keywords: Epidemiology model, Hepatitis B viral, conformable derivative operator, approximate analytical solution, fractional mathematical model