Viral in-host infection model with two state-dependent delays: stability of continuous solutions

Kateryna Fedoryshyna; Alexander Rezounenko

Mathematica Bohemica (2021)

  • Issue: 1, page 91-114
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Fedoryshyna, Kateryna, and Rezounenko, Alexander. "Viral in-host infection model with two state-dependent delays: stability of continuous solutions." Mathematica Bohemica (2021): 91-114. <http://eudml.org/doc/297064>.

@article{Fedoryshyna2021,
abstract = {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.},
author = {Fedoryshyna, Kateryna, Rezounenko, Alexander},
journal = {Mathematica Bohemica},
keywords = {evolution equation; state-dependent delay; Lyapunov stability; virus infection model},
language = {eng},
number = {1},
pages = {91-114},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Viral in-host infection model with two state-dependent delays: stability of continuous solutions},
url = {http://eudml.org/doc/297064},
year = {2021},
}

TY - JOUR
AU - Fedoryshyna, Kateryna
AU - Rezounenko, Alexander
TI - Viral in-host infection model with two state-dependent delays: stability of continuous solutions
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 91
EP - 114
AB - 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.
LA - eng
KW - evolution equation; state-dependent delay; Lyapunov stability; virus infection model
UR - http://eudml.org/doc/297064
ER -

References

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