Skip to main content

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 29))

  • 192 Accesses

Abstract

Prey-predator systems have been extensively studied since their first statement by Volterra (1931) and Lotka (1956). Here I want to show the convergence of the boolean predictions with the well-known properties of the classical model. In the following, boolean equations are derived from a verbal description of the system and two models of different complexity are examined. This study gives the opportunity to outline some considerations on the meaning and the bearing of results obtained by a boolean analysis.

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

Access this chapter

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

  • Lotka, A. (1956) Elements of Mathematical Biophysics. N.Y. Dover Publ. Inc.

    Google Scholar 

  • Volterra, V. (1931) Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Paris Gauthier - Villars.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Richelle, J. (1979). Boolean approach of a prey-predator system. In: Thomas, R. (eds) Kinetic Logic A Boolean Approach to the Analysis of Complex Regulatory Systems. Lecture Notes in Biomathematics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49321-8_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-49321-8_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09556-9

  • Online ISBN: 978-3-642-49321-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics