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Journal Article

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

Rezunenko Oleksandr

: Discrete and Continuous Dynamical Systems-Series B vol.22, 4 (2017), p. 1547-1563

: GA16-06678S, GA ČR

: Evolution equations, Lyapunov stability, state-dependent delay, virus infection model

: 10.3934/dcdsb.2017074

: http://library.utia.cas.cz/separaty/2017/AS/rezunenko-0476128.pdf

(eng): 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 the main interior infection equilibrium which describes the case of both CTL and antibody immune responses activated. We consider rst a particular biologically motivated class of discrete state-dependent delays. The general case is investigated next. The stability of the infection-free and the immune-exhausted equilibria is also discussed.

: BC

: 10201

07.01.2019 - 08:39