Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells

Haq, Fazal; Shah, Kamal; Rahman, Ghaus-UR-; Shahzad, Muhammad

Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells

Document Type : Research Paper

Authors

¹ Department of Mathematics, Hazara University Mansehra, Pakistan

² Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan

³ Department of Mathematics and Statistics, University of Swat, Pakistan

Abstract

In this article, we present a fractional order HIV-1 infection model of CD4+ T-cell. We analyze the effect of the changing the average number of the viral particle N with initial conditions of the presented model. The Laplace Adomian decomposition method is applying to check the analytical solution of the problem. We obtain the solutions of the fractional order HIV-1 model in the form of infinite series. The concerned series rapidly converges to its exact value. Moreover, we compare our results with the results obtained by Runge-Kutta method in case of integer order derivative.

Keywords