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Stochastics, Algebra and Analysis in Classical and Quantum Dynamics pp 23–51Cite as

Simulation on Random Graphs of the Epidemic Dynamics of Sexually Transmitted Diseases — A New Model for the Epidemiology of AIDS

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 59))

Abstract

A new model to describe the epidemic dynamics of sexually transmitted diseases is described; its main ingredients are: a random graph, encoding the sexual contact structure of a society, and a discrete time stochastic process evolving on it, representing the spread of infection. The appropriateness, in the case of AIDS, of this approach will be motivated and first results from computer simulations for a set of simplistic test assumptions will be presented.

The work underlying this report has been supported by Bundesminister für Forschung und Technologie under contract number II-043-88. The responsability for the content lies with the author.

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Author information

Authors and Affiliations

  1. Fakultät für Physik, BiBoS Universität Bielefeld, D-4800, Bielefeld 1, Germany

    Georg F. Bolz

Authors
  1. Georg F. Bolz
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Ruhr-Universität, Bochum, Germany

    S. Albeverio

  2. BiBoS, Germany

    S. Albeverio  & Ph. Blanchard  & 

  3. Fakultät für Physik, Universität Bielefeld, Germany

    Ph. Blanchard

  4. Centre de Physique Theorique, CNRS-Luminy, Marseille, France

    D. Testard

  5. University of Aix-Marseille, France

    D. Testard

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© 1990 Kluwer Academic Publishers

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Bolz, G.F. (1990). Simulation on Random Graphs of the Epidemic Dynamics of Sexually Transmitted Diseases — A New Model for the Epidemiology of AIDS. In: Albeverio, S., Blanchard, P., Testard, D. (eds) Stochastics, Algebra and Analysis in Classical and Quantum Dynamics. Mathematics and Its Applications, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7976-8_3

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  • DOI: https://doi.org/10.1007/978-94-011-7976-8_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-011-7978-2

  • Online ISBN: 978-94-011-7976-8

  • eBook Packages: Springer Book Archive

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