Global stability analysis of HIV-1 infection model with three time delays

M Pitchaimani, C Monica - Journal of Applied Mathematics and Computing, 2015 - Springer
… steady state of HIV-1 dynamical system. Also we carried out bifurcation analysis at the infected
… 3, we discuss the global stability of the viral free steady state and the infected steady state …

Global stability for an HIV-1 infection model including an eclipse stage of infected cells

B Buonomo, C Vargas-De-León - Journal of Mathematical Analysis and …, 2012 - Elsevier
stability of the infected equilibrium has been analyzed locally. Here, we perform the global
stability analysis … direct method and the geometric approach to stability, based on the higher-…

Global properties of a class of HIV models

AM Elaiw - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
… its basic and global properties. In Section 3, we study the global properties of HIV model
with … In this section, we prove the global stability of the uninfected and infected steady states. …

[HTML][HTML] Global stability for an HIV/AIDS epidemic model with different latent stages and treatment

HF Huo, LX Feng - Applied Mathematical Modelling, 2013 - Elsevier
HIV/AIDS is too complex that we could not analyze it all at once. In this paper, we consider
an HIV/AIDS epidemic model … of progresses in developing into AIDS for the latent individuals. …

[HTML][HTML] Stability analysis of an HIV/AIDS epidemic model with treatment

L Cai, X Li, M Ghosh, B Guo - Journal of computational and applied …, 2009 - Elsevier
… Now we investigate the global stability of the infectious steady state. To do this, we apply
Theorem 4.1 of [24] to show the system (2.2) has no periodic solutions, homoclinic loops and …

Global stability of an HIV-1 infection model with saturation infection and intracellular delay

R Xu - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
Global stability In this section, we study the global stability of each of feasible equilibria of …
in [10,11] in which the global dynamics are resolved for SEIR and SIR models with time delay, …

[PDF][PDF] Global stability of HIV infection models with intracellular delays

A Elaiw, I Hassanien, S Azoz - Journal of the Korean Mathematical …, 2012 - researchgate.net
study the global stability of two mathematical models for human immunodeficiency virus (HIV) …
The purpose of the present paper is to study the global stability of two HIV infection models

The Volterra–Lyapunov matrix theory for global stability analysis of a model of the HIV/AIDS

MS Zahedi, NS Kargar - International Journal of Biomathematics, 2017 - World Scientific
… Volterra–Lyapunov stable matrices into the classical method of Lyapunov functions, we
present an approach for global stability analysis of HIV/AIDS. The analysis and results presented …

[PDF][PDF] Global stability analysis of the role of antiretroviral therapy (ART) abuse in HIV/AIDS treatment dynamics

BE Bassey, AO Henry - Pure Appl. Math. J, 2021 - researchgate.net
… We considered the model for off-treatment and thereafter by incorporating LaSalle’s … global
stability analysis of the role of ART abuse in HIV/AIDS treatment. Furthermore, the analysis

Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy

S Liu, L Wang - Mathematical Biosciences & Engineering, 2010 - aimsciences.org
… While there is no standard procedure to test global stability, the commonly used method is
to … global stability for a delay differential equation model of HIV-1 infection. The model was …