Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor

We study a virus dynamics model with reaction-diffusion, logistic growth terms and a general non-linear infection rate functional response. The model has a distributed delay, including the case of state-selective delay. We construct a dynamical system in a Hilbert space and prove the existence of a...

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Autor principal: Rezounenko, Alexander
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9746596/
https://www.ncbi.nlm.nih.gov/pubmed/36532123
http://dx.doi.org/10.1007/s12346-022-00707-6
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author Rezounenko, Alexander
author_facet Rezounenko, Alexander
author_sort Rezounenko, Alexander
collection PubMed
description We study a virus dynamics model with reaction-diffusion, logistic growth terms and a general non-linear infection rate functional response. The model has a distributed delay, including the case of state-selective delay. We construct a dynamical system in a Hilbert space and prove the existence of a finite-dimensional global attractor.
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spelling pubmed-97465962022-12-14 Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor Rezounenko, Alexander Qual Theory Dyn Syst Article We study a virus dynamics model with reaction-diffusion, logistic growth terms and a general non-linear infection rate functional response. The model has a distributed delay, including the case of state-selective delay. We construct a dynamical system in a Hilbert space and prove the existence of a finite-dimensional global attractor. Springer International Publishing 2022-12-13 2023 /pmc/articles/PMC9746596/ /pubmed/36532123 http://dx.doi.org/10.1007/s12346-022-00707-6 Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Rezounenko, Alexander
Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title_full Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title_fullStr Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title_full_unstemmed Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title_short Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor
title_sort viral infection model with diffusion and distributed delay: finite-dimensional global attractor
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9746596/
https://www.ncbi.nlm.nih.gov/pubmed/36532123
http://dx.doi.org/10.1007/s12346-022-00707-6
work_keys_str_mv AT rezounenkoalexander viralinfectionmodelwithdiffusionanddistributeddelayfinitedimensionalglobalattractor

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