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Modelling AIDS-Epidemics or any venereal disease on random graphs

  • Ph Blanchard
  • G. F. Bolz
  • T. Krüger
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 86)

Abstract

The aim of this paper is to review and to report on general results dealing with the description of a new mathematical model based on the concept of random graphs. This stochastic model is intended to describe the dynamics of sexually transmitted diseases. For shortness and simplicity we will mainly concentrate on the case of the Human Immuno-Deficiency Virus (HIV) and AIDS. AIDS is a fatal, infectious disease for which there is now no cure, and its sufferers appear to remain infectious for life. Even though at present much of the numerical information needed is not available, the mathematical modelling of transmissions of infection in the context of the AIDS epidemics is nevertheless vital in investigating how changes in the various assumptions and parameter values would affect the course of the epidemic. This can h:lp to clarify what behavioural changes are needed, to test what mterventwn and preventiOn strategies should be pursued and what sort of data should be collected.

Keywords

Sexual Partner Random Graph Degree Distribution Sexual Contact Epidemic Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Ph Blanchard
    • 1
  • G. F. Bolz
    • 1
  • T. Krüger
    • 1
  1. 1.Theoretische Physik and BiBoSUniversität BielefeldBielefeld 1Deutschland

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