Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

Asma A., Ali N., Zaman G., Zeb A., Ertürk V. S., Jung I. H.

COMPLEXITY, vol.2019, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2019
  • Publication Date: 2019
  • Doi Number: 10.1155/2019/9715686
  • Journal Name: COMPLEXITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve this fractional order HIV model. Moreover, the convergence of this method is also discussed. It can be observed from the numerical solution that (L-ADM) is very simple and accurate to solve fraction order HIV model.