Bifurcation analysis of the HIV‐1 within host model |
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| Authors: | Amel Rahmoun Djamila Benmerzouk Bedreddine Ainseba |
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| Institution: | 1. Department of Mathematics, University of Tlemcen, Tlemcen, Algeria;2. Institute of Mathematics of Bordeaux UMR CNRS 52 51, Case 36, Université Victor Segalen Bordeaux 2, 3 ter Place de la Victoire, Bordeaux Cedex, France |
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| Abstract: | 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. |
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| Keywords: | nonlinear ordinary differential operators abstract bifurcation theory Fredholm operators duality theory HIV mathematical modeling subclass 34 |
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