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


[1] J. Biazar, H. Ghazvini, Convergence of the homotopy perturbation method for partial differential equations, Nonlinear Analysis: Real World Applications, 10(5) 2009, 2633-2640.
[2] V.M. Dias Costa, Equine Infectious Anemia Virus (EIAV): Evidence of Circulation in Donkeys from the Brazilian Northeast Region, Journal of Equine Veterinary Science, 108 2022, 103795.
[3] D.D. Ganji, Application of Homotopy Perturbation Method to Solve Linear and Non-Linear Systems of Ordinary Differential Equations and Differential Equation of Order Three, Journal of Applied Sciences, 8(7) 2008, 1256.1261.
[4] J.H. He, Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation, 135(1) 2003, 73-79.
[5] Z.M. Odibat, A new modi cation of the homotopy perturbation method for linear and nonlinear operators, Applied Mathematics and Computation, 189(1) 2007, 746-753.
[6] D.R. Parreira, Health and epidemiological approaches of Trypanosoma evansi and equine infectious anemia virus in naturally infected horses at southern Pantanal, Acta Tropica, 163 2016, 98-102.
[7] E.J. Schwartz, K.A. Pawelek, K. Harrington, R. Cangelosi, S. Madrid, Immune Control of Equine Infectious Anemia Virus Infection by Cell-Mediated and Humoral Responses, Applied Mathematics, 42013, 171-177.
[8] N. Yous, K. Hattaf, M. Rachik, Analysis of a HCV Model with CTL and Antibody Responses, Applied Mathematical Sciences, 3(57) 2009, 2835-2846.
Volume 3, Issue 1
February 2022
Pages 25-32
  • Receive Date: 03 October 2021
  • Revise Date: 28 November 2021
  • Accept Date: 13 January 2022
  • First Publish Date: 13 January 2022