An extension of the Beretta-Kuang model of viral diseases

2008, Volume 5, Issue 3: 549-565. doi: 10.3934/mbe.2008.5.549

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1.
Institut für Umweltsystemforschung, Universität Osnabrück
2.
Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino

Received: 01 December 2007 Accepted: 29 June 2018 Published: 01 June 2008
MSC : Primary: 92B05, 37N25; Secondary: 37G10.

A model for the complete life cycle of marine viruses is presented. The Beretta-Kuang model introduces an explicit equation for viral particles but the replication process of viral particles in their hosts is not considered. The extended model keeps the structure of the original model. This makes it possible to estimate the growth parameters of the viruses for a given parametrisation of the Beretta-Kuang model.
- viral replication,
- lytic viral infection,
- Hopf bifurcation.
Citation: Ivo Siekmann, Horst Malchow, Ezio Venturino. An extension of the Beretta-Kuang model of viral diseases[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 549-565. doi: 10.3934/mbe.2008.5.549

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Abstract

A model for the complete life cycle of marine viruses is presented. The Beretta-Kuang model introduces an explicit equation for viral particles but the replication process of viral particles in their hosts is not considered. The extended model keeps the structure of the original model. This makes it possible to estimate the growth parameters of the viruses for a given parametrisation of the Beretta-Kuang model.
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