# Application of modified homotopy perturbation method for EIAV infection

Document Type : Original Article

Authors

1 Department of Mathematics, Roudehen Branch, Islamic Azad University, Roudehen, Iran

2 Department of Mathematics, Qom University of Technology, Qom, Iran

Abstract

Equine Infectious Anemia Virus (EIAV) is a retrovirus that establishes a persistent
infection in horses and ponies . 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 immunodeficiency 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 modification 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.

Keywords

#### References

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### History

• Receive Date: 03 October 2021
• Revise Date: 28 November 2021
• Accept Date: 13 January 2022