Geodesic
Viral in-host infection model with two state-dependent delays: stability of continuous solutions
Mathematica Bohemica, Tome 146 (2021) no. 1, pp. 91-114

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A virus dynamics model with two state-dependent delays and logistic growth term is investigated. A general class of nonlinear incidence rates is considered. The model describes the in-host interplay between viral infection and CTL (cytotoxic T lymphocytes) and antibody immune responses. The wellposedness of the model proposed and Lyapunov stability properties of interior infection equilibria which describe the cases of a chronic disease are studied. We choose a space of merely continuous initial functions which is appropriate for therapy, including drug administration.
DOI : 10.21136/MB.2020.0028-19
Classification : 34K20, 93C23, 97M60
Keywords: evolution equation; state-dependent delay; Lyapunov stability; virus infection model 
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Fedoryshyna, Kateryna; Rezounenko, Alexander. Viral in-host infection model with two state-dependent delays: stability of continuous solutions. Mathematica Bohemica, Tome 146 (2021) no. 1, pp. 91-114. doi: 10.21136/MB.2020.0028-19

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