On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1990-06

AUTHORS

O. Diekmann, J. A. P. Heesterbeek, J. A. J. Metz

ABSTRACT

The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented. More... »

PAGES

365-382

References to SciGraph publications

  • 1980. Models for Vector-Borne Parasitic Diseases in VITO VOLTERRA SYMPOSIUM ON MATHEMATICAL MODELS IN BIOLOGY
  • 1985-06. Proportionate mixing models for age-dependent infection transmission in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1986. The Dynamical Behaviour of the Age-Size-Distribution of a Cell Population in THE DYNAMICS OF PHYSIOLOGICALLY STRUCTURED POPULATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00178324

    DOI

    http://dx.doi.org/10.1007/bf00178324

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1039188921

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/2117040


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