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Bifurcation analysis of the HIV‐1 within host model
Author(s) -
Rahmoun Amel,
Benmerzouk Djamila,
Ainseba Bedreddine
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3609
Subject(s) - mathematics , bifurcation , human immunodeficiency virus (hiv) , equilibrium point , host (biology) , lyapunov function , bifurcation theory , saddle node bifurcation , qualitative analysis , stability (learning theory) , bifurcation diagram , bogdanov–takens bifurcation , mathematical analysis , control theory (sociology) , virology , nonlinear system , differential equation , qualitative research , computer science , control (management) , biology , artificial intelligence , physics , ecology , social science , quantum mechanics , machine learning , sociology
In this paper, a bifurcation solution's analysis is proposed for an HIV‐1 within the host model around its chronic equilibrium point, this is carried out based on Lyapunov–Schmidt approach. It is shown that the coefficient b , which represents the healthy CD4 + T‐cells growth rate, is a bifurcation parameter; this means that the rate of multiplication of healthy cells can have serious effects on the qualitative dynamical properties and structural stability of the infection evolution dynamics. Copyright © 2015 John Wiley & Sons, Ltd.