Skip to main content

A singular functional differential equation arising in an immunological model

  • 2596 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 564)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bell, G. I. "Mathematical Model of Clonal Selection and Antibody Production," J. Theor. Biol. 29 (1970), 191–232.

    CrossRef  Google Scholar 

  2. _____. "Mathematical Model of Clonal Selection and Antibody Production. II," J. Theor. Biol. 33(1971), 339–378.

    CrossRef  Google Scholar 

  3. _____. "Mathematical Model of Clonal Selection and Antibody Production. III," J. Theor. Biol. 33(1971), 379

    CrossRef  Google Scholar 

  4. Waltman, P. and Butz, E. "A Threshold Model of Antigen-Antibody Dynamics,"

    Google Scholar 

  5. Driver, R. "Existence Theory for a Delay-Differential System," Contributions to Differential Equations 1(1963), 317–336.

    MathSciNet  MATH  Google Scholar 

  6. Hoffman, G. W. "A Theory of Regulation and Self-Nonself Discrimination in an Immune Network," European J. of Immunology (1975), In Press.

    Google Scholar 

  7. Hoppensteadt, F. and Waltman, P. "A Problem in the Theory of Epidemics II," Math. Biosci. 12(1971), 133–145.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Richter, P. H. "A Network Theory of the Immune System," European J. of Immunology 5(1975), 350–354.

    CrossRef  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Gatica, J.A., Waltman, P. (1976). A singular functional differential equation arising in an immunological model. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087332

Download citation

  • DOI: https://doi.org/10.1007/BFb0087332

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive