Title: Solving a non-linear model of HIV infection for CD4+T cells by combining Laplace transformation and Homotopy analysis,
Abstract: The aim of this paper is to find the approximate solution of HIV infection
model of CD4+T cells. For this reason, the homotopy analysis transform method
(HATM) is applied. The presented method is combination of traditional homotopy
analysis method (HAM) and the Laplace transformation. The convergence of
presented method is discussed by preparing a theorem which shows the
capabilities of method. The numerical results are shown for different values of
iterations. Also, the regions of convergence are demonstrated by plotting
several h-curves. Furthermore in order to show the efficiency and accuracy of
method, the residual error for different iterations are presented.