Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2016 (2016)

Commun. Math. Biol. Neurosci. 2016 (2016), Article ID 6

A mathematical model of HTLV-I infection with nonlinear incidence and two time delays

Huajiao Zhao, Shengqiang Liu

PDF (6.2 MB)

Abstract

In this paper, the main purpose is to promote the global dynamics of system (2) in [1]. By using method of constructing Lyapunov functionals, we establish global asymptotic stability of the infection-free equilibrium, the immune-free equilibrium and the existence of a unique HAM/TSP equilibrium. Our numerical simulations suggest that if 1 < R1, an increase of the intracellular delay may stabilize the HAM/TSP equilibrium while the immune delay can destabilize it.

Published
10 March 2016
Volume
2016 (2016)
License
CC BY 3.0

Copyright © 2016 Huajiao Zhao, Shengqiang Liu. 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.

Cite this article

H. Zhao, S. Liu, A mathematical model of HTLV-I infection with nonlinear incidence and two time delays, Commun. Math. Biol. Neurosci. 2016 (2016), 6.

BibTeX
@article{Zhao2016,
  author  = {Zhao, Huajiao and Liu, Shengqiang},
  title   = {A mathematical model of HTLV-I infection with nonlinear incidence and two time delays},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2016},
  year    = {2016},
  pages   = {6},
  doi     = {}
}