Hopf bifurcation analysis of delayed model of thymic infection with HIV-1

Title
Hopf bifurcation analysis of delayed model of thymic infection with HIV-1
Author(s)
박주현P. Balasubramaniam[P. Balasubramaniam]M. Prakash[M. Prakash]
Keywords
IN-VIVO; INTRACELLULAR DELAY; NONLINEAR INCIDENCE; VIRAL DYNAMICS; CELLS; PATHOGENESIS; VIRUS; TIME; LIFE
Issue Date
201208
Publisher
ELSEVIER SCIENCE INC
Citation
APPLIED MATHEMATICS AND COMPUTATION, v.218, no.23, pp.11505 - 11517
Abstract
In this paper, a delayed differential equation model that describes infection of thymus with HIV-1 is considered. We first investigate the existence and stability of the equilibria and then we study the effect of the time delay on the stability of the infected equilibrium. Criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. Finally, by using a delay as a bifurcation parameter, the existence of Hopf bifurcation is investigated. Numerical simulations are presented to illustrate the analytical results. (C) 2012 Elsevier Inc. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/27560http://dx.doi.org/10.1016/j.amc.2012.05.038
ISSN
0096-3003
Appears in Collections:
공과대학 > 전기공학과 > Articles
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