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Mathematical Biosciences and Engineering

2008, Volume 5, Issue 3: 549-565. doi: 10.3934/mbe.2008.5.549
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An extension of the Beretta-Kuang model of viral diseases

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

    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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  • 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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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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