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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00487969" target="_blank" >RIV/67985556:_____/17:00487969 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA16-06678S" target="_blank" >GA16-06678S: The systems described by partial differential equations with different types of delays</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of EQUADIFF 2017 Conference

ISBN

978-80-227-4757-8

ISSN

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e-ISSN

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Number of pages

8

Pages from-to

53-60

Publisher name

Slovak University of Technology

Place of publication

Bratislava

Event location

Bratislava

Event date

Jul 24, 2017

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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