In this paper, we propose a model of virus dynamics that includes diffusion, time delay and a
general incidence function. By constructing Liapunov functionals, we show that the model …

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 …

In this paper, we study the global stability of two mathematical models for human
immunodeficiency virus (HIV) infection with intracellular delays. The first model is a 5 …

The purpose of this paper is to study the dynamics of a diffusive HBV model with delayed
Beddington–DeAngelis response. First, we analyze the well-posedness of the initial value …

In this paper, we revisit a diffusive virus dynamics model with general incidence function and
time delay. One novelty of our model is that we introduce cell-to-cell transmission via …

In this paper, we propose an improved human T‐cell leukemia virus type 1 infection model
with mitotic division of actively infected cells and delayed cytotoxic T lymphocyte immune …

This work intends to analyze the global threshold dynamics of an HIV infection model with
age-space structure, latency and two transmission paths (virus to cell and cell to cell) under …

Given that a Lyapunov function is known for a particular system, we outline an approach for
determining terms in the system that can be replaced by similar terms that include delay …

In this paper, the global stability of a virus dynamics model with intracellular delay, Crowley–
Martin functional response of the infection rate, and CTL immune response is studied. By …

In this paper, we present a delay Hepatitis C virus infection model with Beddington-
DeAngelis functional response. We first introduce five reproduction numbers, and then show …