A delay-differential equation model of HIV infection of CD4(+) T-cells.

By R. Culshaw, Shigui Ruan. Mathematical Biosciences, 2000

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Virus Dynamics: A Global Analysis (2003, methodology): “A related modeling approach consists of incorporating a delay term describing the delay between the time of infection of a T cell and the time of emission of virus particles from this cell [3].”
Dynamical behavior of a delay virus dynamics model with CTL immune response (2010, background): “Furthermore, by the similar theoretical analysis to population dynamical systems and epidemic models [8-11], it is shown that time delays play an important role to the dynamics properties of the virus dynamics model with CTL immune response.”
ON IDENTIFIABILITY OF NONLINEAR ODE MODELS AND APPLICATIONS IN VIRAL DYNAMICS (2011, background): “For examples of DDE modeling of HIV infection, the reader is referred to [90] and [76].”
A class of delayed viral models with saturation infection rate and immune response (2013, background): “Recently, many researchers consider the effect of delay accounting for the time between viral entry into a target cell and the production of new virus particles (see, for example, [21–29]).”