Deakin University
Browse

File(s) under permanent embargo

Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4+ T-cells

Version 2 2024-06-13, 09:17
Version 1 2023-10-26, 03:20
journal contribution
posted on 2024-06-13, 09:17 authored by P Balasubramaniam, M Prakash, FA Rihan, L Shanmugam
© 2014 P. Balasubramaniam et al. This paper deals with stability and Hopf bifurcation analyses of a mathematical model of HIV infection of CD 4 + T-cells. The model is based on a system of delay differential equations with logistic growth term and antiretroviral treatment with a discrete time delay, which plays a main role in changing the stability of each steady state. By fixing the time delay as a bifurcation parameter, we get a limit cycle bifurcation about the infected steady state. We study the effect of the time delay on the stability of the endemically infected equilibrium. We derive explicit formulae to determine the stability and direction of the limit cycles by using center manifold theory and normal form method. Numerical simulations are presented to illustrate the results.

History

Journal

Abstract and applied analysis

Volume

2014

Article number

838396

Location

Cairo, Egypt

ISSN

1085-3375

eISSN

1687-0409

Language

eng

Copyright notice

2014, P. Balasubramaniam et al

Publisher

Hindawi Publishing

Usage metrics

    Research Publications

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC