Application of modified homotopy perturbation method for EIAV infection

Equine Infectious Anemia Virus (EIAV) is a retrovirus that establishes a persistent infection in horses. The virus is characterized by acute and chronic recurring clinical signs including fever, anemia, edema and cachexia in some animals. The virus is in the same lentivirus subgroup that includes human immunode ciency virus (HIV). The similarities between these two viruses make the study of the immune response to EIAV make it relevant to the research on HIV. In this paper, a modi cation of the homotopy perturbation method is applied to solve a mathematical model of within-host EIAV infection dynamics which contain both humoral and cell-mediated immune. This model is a nonlinear ordinary differential equations. Example is provided to show the ability and reliability of the method. The results reveal that the method is very effective and simple