Direct cell-to-cell transfer of HIV-1 is found to be a more potent and efficient means of virus
propagation than virus-to-cell infection. In this paper we propose a mathematical model 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 …

Mathematical models have made considerable contributions to our understanding of HIV
dynamics. Introducing time delays to HIV models usually brings challenges to both …

In this paper, an HIV-1 infection model with saturation incidence and time delay due to the
CTL immune response is investigated. By analyzing corresponding characteristic equations …

We present two HIV models that include the CTL immune response, antiretroviral therapy
and a full logistic growth term for uninfected CD4^+ T-cells. The difference between the two …

In this paper, we investigate the dynamical behavior of in-host viral models with humoral
immunity and intracellular delays. For both models, using the method of Lyapunov …

The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …

Direct cell-to-cell transmission of HIV-1 is proved to be a more efficient means of virus
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …

We present a delay‐differential equation model with optimal control that describes the
interactions between human immunodeficiency virus (HIV), CD4+ T cells, and cell‐mediated …

In this paper, we investigate the dynamical behavior of a virus infection model with general
incidence rate and humoral immunity. By using suitable Lyapunov functional and the …