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

TL;DR

This paper analyzes the stability of a virus infection model incorporating state-dependent delays and immune responses, using Lyapunov functionals to determine conditions for equilibrium stability.

Contribution

It introduces a novel stability analysis for a virus model with state-dependent delays and nonlinear infection rates, extending previous models to more realistic biological scenarios.

Findings

Stability conditions for the infection equilibrium are derived.

Both discrete and general state-dependent delays are analyzed.

The model demonstrates the impact of immune responses on infection persistence.

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.