Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses
Determining sharp conditions for the global stability of equilibria remains one of the most
challenging problems in the analysis of models for the management and control of biological …
challenging problems in the analysis of models for the management and control of biological …
Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal
AM Elaiw, NH Alshamrani - Nonlinear Analysis: Real World Applications, 2015 - Elsevier
In this paper, we investigate the dynamical behavior of two nonlinear models for viral
infection with humoral immune response. The first model contains four compartments; …
infection with humoral immune response. The first model contains four compartments; …
Lyapunov functions and global stability for age-structured HIV infection model
G Huang, X Liu, Y Takeuchi - SIAM Journal on Applied Mathematics, 2012 - SIAM
We study the basic age-structured population model describing the HIV infection process,
which is defined by PDEs. The model allows the production rate of viral particles and the …
which is defined by PDEs. The model allows the production rate of viral particles and the …
Effect of cellular reservoirs and delays on the global dynamics of HIV
We investigate general HIV infection models with three types of infected cells: latently
infected cells, long-lived productively infected cells, and short-lived productively infected …
infected cells, long-lived productively infected cells, and short-lived productively infected …
Stability of general virus dynamics models with both cellular and viral infections and delays
We consider general virus dynamics model with virus‐to‐target and infected‐to‐target
infections. The model is incorporated by intracellular discrete or distributed time delays. We …
infections. The model is incorporated by intracellular discrete or distributed time delays. We …
Stability of a general delay‐distributed virus dynamics model with multi‐staged infected progression and immune response
AM Elaiw, NH Alshamrani - Mathematical Methods in the …, 2017 - Wiley Online Library
In this paper, we formulate a (n+ 3)‐dimensional nonlinear virus dynamics model that
considers n‐stages of the infected cells and n+ 1 distributed time delays. The model …
considers n‐stages of the infected cells and n+ 1 distributed time delays. The model …
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators
HR Thieme - Journal of Differential Equations, 2011 - Elsevier
Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive
operators Page 1 J. Differential Equations 250 (2011) 3772–3801 Contents lists available at …
operators Page 1 J. Differential Equations 250 (2011) 3772–3801 Contents lists available at …
Construction of Lyapunov functionals for delay differential equations in virology and epidemiology
T Kajiwara, T Sasaki, Y Takeuchi - Nonlinear Analysis: Real World …, 2012 - Elsevier
In the present paper, we present a method for constructing a Lyapunov functional for some
delay differential equations in virology and epidemiology. Here some delays are …
delay differential equations in virology and epidemiology. Here some delays are …
A delayed HIV-1 model with virus waning term
In this paper, we propose and analyze a delayed HIV-1 model with CTL immune response
and virus waning. The two discrete delays stand for the time for infected cells to produce …
and virus waning. The two discrete delays stand for the time for infected cells to produce …