" The mathematical theory of persistence answers questions such as which species, in a
mathematical model of interacting species, will survive over the long term. It applies to …

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 …

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; …

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 …

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 …

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 …

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 …

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 …

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 …

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 …