Skip to main content
SpringerLink
Log in

Triangles in Heterosexual HIV Transmission

  • Chapter
AIDS Epidemiology

Abstract

A model for HIV transmission is presented which treats concurrent partnerships in the heterosexual population. The basic reproduction number R 0 is calculated as a function of behavorial parameters for the duration of partnerships and for contact rates with primary and secondary partners. The threshold condition for an epidemic, R 0>1, is used to derive minimum bounds for the number of partners of an infected index case during the infectious period. If one takes into account the total number of contacts during the infectious period, the values for R 0 are similar for a given number of partners irrespective of whether the partnerships are consecutive or concurrent. To what extent R 0 can be estimated on the basis of behavioral data in a susceptible population is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Diekmann, O., Dietz, K., Heesterbeek, J.A.P. (1991). The basic reproduction ratio for sexually transmitted diseases. Part I: Theoretical considerations. Mathematical Biosciences 107, 325–339.

    Article  PubMed  CAS  Google Scholar 

  • Dietz, K., Hadeler, K.P. (1988). Epidemiological models for sexually transmitted diseases. Journal of Mathematical Biology, 26, 1–25.

    Article  PubMed  CAS  Google Scholar 

  • Waldstätter, R. (1989). Pair formation in sexually-transmitted diseases. In Mathematical and Statistical Approaches to AIDS Epidemiology, (ed. C. Castillo-Chavez), pp.260–274. Springer, Berlin (Lecture Notes in Biomathematics, 83).

    Google Scholar 

  • Weyer, J. (1990). Über das Ansteckungspotential HIV-infizierter Personen. AIDS-Forschung, 5, 31–40.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Medical Biometry, Eberhard-Karls-University, Westbahnhofstr. 55, W7400, Tübingen, Germany

    Klaus Dietz

  2. Synthelabo Recherche, 31, avenue Paul Vaillant-Couturier, 92225, Bagneux CEDEX, France

    David Tudor

Authors
  1. Klaus Dietz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David Tudor
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Dept. of Statistics, University of California, 94720, Berkeley, CA, USA

    Nicholas P. Jewell

  2. Dept. of Medical Biometry, University of Tübingen, W-7400, Tübingen, Germany

    Klaus Dietz

  3. Dept. of Statistics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Vernon T. Farewell

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Dietz, K., Tudor, D. (1992). Triangles in Heterosexual HIV Transmission. In: Jewell, N.P., Dietz, K., Farewell, V.T. (eds) AIDS Epidemiology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1229-2_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1229-2_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-1231-5

  • Online ISBN: 978-1-4757-1229-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation