A numerical approach to solve the model for HIV infection of CD4(+)T cells

YÜZBAŞI Ş.

APPLIED MATHEMATICAL MODELLING, vol.36, no.12, pp.5876-5890, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 12
  • Publication Date: 2012
  • Doi Number: 10.1016/j.apm.2011.12.021
  • Journal Name: APPLIED MATHEMATICAL MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5876-5890
  • Keywords: A model for HIV infection of CD4(+)T cells, Bessel collocation method, Numerical solution, Nonlinear differential equation systems, Bessel polynomials and series, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, MATHEMATICAL-ANALYSIS, DIFFERENCE EQUATIONS, T-CELLS, DYNAMICS
  • Akdeniz University Affiliated: No

Abstract

In this study, we will obtain the approximate solutions of the HIV infection model of CD4(+)T by developing the Bessel collocation method. This model corresponds to a class of nonlinear ordinary differential equation systems. Proposed scheme consists of reducing the problem to a nonlinear algebraic equation system by expanding the approximate solutions by means of the Bessel polynomials with unknown coefficients. The unknown coefficients of the Bessel polynomials are computed using the matrix operations of derivatives together with the collocation method. The reliability and efficiency of the proposed approach are demonstrated in the different time intervals by a numerical example. All computations have been made with the aid of a computer code written in Maple 9. (C) 2011 Elsevier Inc. All rights reserved.