A numerical method for the solutions of the HIV infection model of CD4(+) T-cells

YÜZBAŞI Ş., Ismailov N.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, cilt.10, sa.7, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 7
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1142/s179352451750098x
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: HIV infection model of CD4(+) T-cells, systems of nonlinear differential equations, Taylor operational method, numerical solutions, MATHEMATICAL-ANALYSIS, DYNAMICS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, the human immunodeficiency virus (HIV) infection model of CD4(+) T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transform ed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.