Volume 16, Issue 1, June 2015, Pages 79–85
M. Khalid1, Mariam Sultana2, Faheem Zaidi3, and Fareeha Sami Khan4
1 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
2 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
3 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
4 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, a new Iteration Algorithm is examined to provide an approximate solution of a model for HIV infection of CD4+ T-Cells. This method allows the solution of governing differential equation calculated in the form of an infinite series, with components that can be easily calculated. The reliability and the efficiency of proposed approach is demonstrated in different time intervals by numerical example. All computations have been carried out by computer code written in Mathematica 9.0
Author Keywords: HIV Infection, CD4+ T-Cell, Perturbation Iteration Algorithm, Infinite Series.
M. Khalid1, Mariam Sultana2, Faheem Zaidi3, and Fareeha Sami Khan4
1 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
2 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
3 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
4 Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Karachi-75300, Pakistan
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, a new Iteration Algorithm is examined to provide an approximate solution of a model for HIV infection of CD4+ T-Cells. This method allows the solution of governing differential equation calculated in the form of an infinite series, with components that can be easily calculated. The reliability and the efficiency of proposed approach is demonstrated in different time intervals by numerical example. All computations have been carried out by computer code written in Mathematica 9.0
Author Keywords: HIV Infection, CD4+ T-Cell, Perturbation Iteration Algorithm, Infinite Series.
How to Cite this Article
M. Khalid, Mariam Sultana, Faheem Zaidi, and Fareeha Sami Khan, “A Numerical Solution of a Model for HIV Infection CD4+ T-Cell,” International Journal of Innovation and Scientific Research, vol. 16, no. 1, pp. 79–85, June 2015.