A Computational Approach to a Model for HIV and the Immune System Interaction

This study deals with the numerical solution of human immunodeficiency virus (HIV) infection model, which is a significant problem for global public health. Acquired syndrome (AIDS) communicable disease, and HIV causative agent AIDS, damages ability body to fight against disease easily usual innocuous infections attack body. On entering body, infects large amount CD4+ T-cells disturbs supply rate these cells from thymus. Herein, we consider model variable source terms in production monotonically decreasing function viral load. Based on reproduction number, describe stability free equilibrium. The continuous Galerkin–Petrov method, particular cGP(2)-method, implemented determine solutions model. influence different parameters population dynamics healthy/infected particles are examined, results presented graphically. other hand, solved using fourth-order Runge–Kutta briefly, RK4-method, proposed schemes compared those obtained classical such as Bessel collocation method (BCM), Laplace Adomian decomposition (LADM), perturbation iteration algorithm (PIA), modified variational (MVIM), differential transform (DTM), exponential Galerkin (EGM), numerically. Furthermore, absolute errors relative RK4 computed accuracy scheme. It that cGP(2)-method gains accurate at larger time step sizes comparison aforementioned methods. graphical reveals scheme yields more traditional literature.