Penyelesaian model infeksi HIV pada sel darah Putih (T CD4+) dengan menggunakan metode perturbasi homotopi

Abstract

Acquired immunodefficiency syndrome (AIDS) is defined as symptoms of human immune system deterioration caused by human immunodefficiency virus (HIV). The virus damages the leucocytes; therefore, once a person is infected by the HIV, his/her immune system will be paralyzed and eventually he/she will not be able to survive from any disease. HIV is transmitted in many ways, such as having unsafe sex, using unsterilized syringe and blood transfusion. Homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems as a model for HIV infection of CD4+ T cells. A modification of the homotopy perturbation method (HPM), based on the use of numerical solution, is proposed. Some plots are presented to show the reliability and simplycity of the homotopy perturbation method. The results obtained in this study indicate that the homotopy perturbation method is highly efficient to solve models of HIV infection of cells (T CD4+). Errors resulting from this method is so small that the solution obtained by is very close to the exact solution.