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

Huajiao Zhao, Shengqiang Liu

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.

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Published: 2016-03-10

How to Cite this Article:

Huajiao Zhao, Shengqiang Liu, A mathematical model of HTLV-I infection with nonlinear incidence and two time delays, Communications in Mathematical Biology and Neuroscience, Vol 2016 (2016), Article ID 6

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.

Commun. Math. Biol. Neurosci.

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