Numerical approximation for HIV infection of CD4+ T cells mathematical model

A dynamical model of HIV infection of CD4+ T cells is solved numerically using an approximate analytical method so-called the differential transform method (DTM). The solution obtained by the method is an infinite power series for appropriate initial condition, without any discretization, transformation, perturbation, or restrictive conditions. A comparative study between the present method, the classical Euler's and Runge-Kutta fourth order (RK4) methods is also carried out.