Viral infection model with diffusion and state-dependent delay: a case of logistic growth

Rezounenko, Alexander V.

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 53-60

Abstract

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We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-time initial functions are investigated. This type of solutions is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions approach is used to analyse stability of interior infection equilibria which describe the cases of a chronic disease.

How to cite

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Rezounenko, Alexander V.. "Viral infection model with diffusion and state-dependent delay: a case of logistic growth." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 53-60. <http://eudml.org/doc/294942>.

@inProceedings{Rezounenko2017,
abstract = {We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-time initial functions are investigated. This type of solutions is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions approach is used to analyse stability of interior infection equilibria which describe the cases of a chronic disease.},
author = {Rezounenko, Alexander V.},
booktitle = {Proceedings of Equadiff 14},
keywords = {Reaction-diffusion, evolution equations, Lyapunov stability, state-dependent delay, virus infection model.},
location = {Bratislava},
pages = {53-60},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Viral infection model with diffusion and state-dependent delay: a case of logistic growth},
url = {http://eudml.org/doc/294942},
year = {2017},
}

TY - CLSWK
AU - Rezounenko, Alexander V.
TI - Viral infection model with diffusion and state-dependent delay: a case of logistic growth
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 53
EP - 60
AB - We propose a virus dynamics model with reaction-diffusion and logistic growth terms, intracellular state-dependent delay and a general non-linear infection rate functional response. Classical solutions with Lipschitz in-time initial functions are investigated. This type of solutions is adequate to the discontinuous change of parameters due to, for example, drug administration. The Lyapunov functions approach is used to analyse stability of interior infection equilibria which describe the cases of a chronic disease.
KW - Reaction-diffusion, evolution equations, Lyapunov stability, state-dependent delay, virus infection model.
UR - http://eudml.org/doc/294942
ER -

References

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