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arXiv · 1603.06281

Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses

Alexander Rezounenko
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Abstract

A virus dynamics model with intracellular state-dependent delay and nonlinear infection rate of Beddington-DeAngelis functional response is studied. The technique of Lyapunov functionals is used to analyze stability of an interior infection equilibrium which describes the case of both CTL and antibody immune responses activated. We consider first a particular biologically motivated class of discrete state-dependent delays. Next, the general case is investigated.

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Alexander Rezounenko. 2016-03-20. Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses. https://doi.org/10.3934/dcdsb.2017074

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