An extension of the Beretta-Kuang model of viral diseases

A model for the complete life cycle of marine viruses is presented.The Beretta-Kuang model introduces an explicit equation for viral particlesbut the replication process of viral particles in their hosts is not considered.The extended model keeps the structure of the original model. This makes itpos...

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Main Authors: Ivo Siekmann, Horst Malchow, Ezio Venturino
Format: Article
Language:English
Published: AIMS Press 2008-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.549
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author Ivo Siekmann
Horst Malchow
Ezio Venturino
author_facet Ivo Siekmann
Horst Malchow
Ezio Venturino
author_sort Ivo Siekmann
collection DOAJ
description A model for the complete life cycle of marine viruses is presented.The Beretta-Kuang model introduces an explicit equation for viral particlesbut the replication process of viral particles in their hosts is not considered.The extended model keeps the structure of the original model. This makes itpossible to estimate the growth parameters of the viruses for a given parametrisationof the Beretta-Kuang model.
format Article
id doaj-art-cedb192425f84871a63b643acb934fd6
institution Kabale University
issn 1551-0018
language English
publishDate 2008-05-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-cedb192425f84871a63b643acb934fd62025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015354956510.3934/mbe.2008.5.549An extension of the Beretta-Kuang model of viral diseasesIvo Siekmann0Horst Malchow1Ezio Venturino2Institut für Umweltsystemforschung, Universität OsnabrückInstitut für Umweltsystemforschung, Universität OsnabrückInstitut für Umweltsystemforschung, Universität OsnabrückA model for the complete life cycle of marine viruses is presented.The Beretta-Kuang model introduces an explicit equation for viral particlesbut the replication process of viral particles in their hosts is not considered.The extended model keeps the structure of the original model. This makes itpossible to estimate the growth parameters of the viruses for a given parametrisationof the Beretta-Kuang model.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.549viral replicationlytic viral infectionhopf bifurcation.
spellingShingle Ivo Siekmann
Horst Malchow
Ezio Venturino
An extension of the Beretta-Kuang model of viral diseases
Mathematical Biosciences and Engineering
viral replication
lytic viral infection
hopf bifurcation.
title An extension of the Beretta-Kuang model of viral diseases
title_full An extension of the Beretta-Kuang model of viral diseases
title_fullStr An extension of the Beretta-Kuang model of viral diseases
title_full_unstemmed An extension of the Beretta-Kuang model of viral diseases
title_short An extension of the Beretta-Kuang model of viral diseases
title_sort extension of the beretta kuang model of viral diseases
topic viral replication
lytic viral infection
hopf bifurcation.
url https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.549
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AT horstmalchow anextensionoftheberettakuangmodelofviraldiseases
AT ezioventurino anextensionoftheberettakuangmodelofviraldiseases
AT ivosiekmann extensionoftheberettakuangmodelofviraldiseases
AT horstmalchow extensionoftheberettakuangmodelofviraldiseases
AT ezioventurino extensionoftheberettakuangmodelofviraldiseases