Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays. (February 2016)

• Record Type: Journal Article
• Authors: Monica, C.; Pitchaimani, M.
• Is Part Of: Nonlinear analysis. Volume 27(2016)
• Page Start: 55
• Page End: 69
• Publication Date: 2016-02
• Subjects: Bifurcation -- Delays -- Global stability -- HIV-1 -- Lyapunov functionals; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.07.014
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Mathematical model for the effects of protease inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed. Some analytical results on the global stability of viral free steady state and infected steady state are obtained. The stability/instability of the positive steady state and associated Hopf bifurcation are investigated by analyzing the characteristic equations.