Abstract
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.
Highlights
In our research we are interested in mathematical models of viral diseases
Adaptive immune responses
The relative balance of both types of adaptive immune response “can be a decisive factor that determines whether patients
Summary
In our research we are interested in mathematical models of viral diseases. We notice that early models [16, 18] contain three variables: susceptible host cells, infected cells and free virus. Our first goal is to remove the restriction of the constancy of the delay and investigate the well-posedness and Lyapunov stability of the following virus infection model (1.3) with a general functional response f and state dependent delay. It appears that the analysis essentially differs from the constant delay case. We study the stability of an interior equilibrium which describes the case when both CTL and antibody immune responses are activated We believe this infection equilibrium is only biologically meaningful in the study of the disease
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