Continuous solutions to a viral infection model with general incidence rate, discrete state-dependent delay, CTL and antibody immune responses | Zendy

Alexander V. Rezounenko | Zendy

Open Access

Continuous solutions to a viral infection model with general incidence rate, discrete state-dependent delay, CTL and antibody immune responses

Author(s) -

Alexander V. Rezounenko

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.79

Subject(s) - ctl* , mathematics , viral infection , immune system , incidence (geometry) , antibody , state (computer science) , immunology , control theory (sociology) , medicine , virus , computer science , algorithm , control (management) , artificial intelligence , geometry , cd8

A virus dynamics model with intracellular state-dependent delay and a general nonlinear infection rate functional response is studied. We consider the case of merely continuous solutions which is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functionals technique is used to analyze stability of an interior infection equilibrium which describes the case of both CTL and antibody immune responses activated.

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