The new field of viral dynamics, based on within-host modeling of viral infections, began with
models of human immunodeficiency virus (HIV), but now includes many viral infections …

By the acute stage of HIV-1 infection, the immune system already faces daunting challenges.
Research on mucosal barriers and the events immediately after heterosexual transmission …

Mathematical models have proven valuable in understanding the dynamics of HIV-1
infection in vivo. By comparing these models to data obtained from patients undergoing …

In this paper, we propose and analyze a fractional order model of viral kinetics for primary
infection of HIV-1 in presence of immune control with treatment, as the classical model of …

AS Perelson, DE Kirschner and R. De Boer (Math. Biosci. 114 (1993) 81) proposed an ODE
model of cell-free viral spread of human immunodeficiency virus (HIV) in a well-mixed …

During primary HIV infection the viral load in plasma increases, reaches a peak, and then
declines. Phillips has suggested that the decline is due to a limitation in the number of cells …

Highly active antiretroviral therapy (HAART) reduces the viral burden in human
immunodeficiency virus type 1 (HIV-1) infected patients below the threshold of detectability …

HIV-1 and simian immunodeficiency virus (SIV), as well as their hosts, face perils at mucosal
front lines in early infection. At these sites,'resting'CD4+ memory T cells fuel infection …

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 …

Competition between parasite species or strains within hosts is a major evolutionary force in
infections. In response, parasites exhibit a diverse array of strategies that improve their …