Skip to main content

Spatial patterning of the spruce budworm in the presence of defoliation

  • 758 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1151)

Keywords

  • Positive Root
  • Steady State Solution
  • Spatial Effect
  • Comparison Principle
  • Nonlinear Diffusion

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.

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. Aronson, D.G., Weinberger, H.F. Nonlinear diffusion in population genetics, combustion and nerve propagation, partial differential equations and related topics, Lecture Notes in Mathematics, Vol. 446, Berlin, Springer-Verlag, 1975.

    MATH  Google Scholar 

  2. Aronson, D.G., Weinberger, H.F. Multidimensional nonlinear diffusion arising in population genetics, Adv. in Math. 30, 33–76, 1978.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Greenbank, D.O., Schaefer, G.W., Rainey, F.R.S. Spruce budworm (lepidoptera: tortricadae) moth flight and dispersal, New understanding from canopy observations and aircraft, Memoirs of the Entomological Society of Canada, No. 110, 1980.

    Google Scholar 

  4. Guo Ben-Yu, Mitchell, A.R., Sleeman, B.D. Spatial patterning of the spruce budworm in a circular region, UDDM Report DE 83:5, 1983.

    Google Scholar 

  5. Guo Ben-Yu, Sleeman, B.D., Mitchell, A.R. Spatial effects in a two-dimensional model for the budworm-balsam fir ecosystem, 1983.

    Google Scholar 

  6. Ludwig, D., Aronson, D.G., Weinberger, H.F. Spatial patterning of the spruce budworm, J. Math. Biology 8, 259–263, 1979.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Ludwig, D., Jones, D.D., Holling, C.S. Qualitative analysis of insect outbreak systems, the spruce budworm and forest, J. Anim. Ecol. 47, 315–332, 1978.

    CrossRef  Google Scholar 

  8. Murray, J.D. Private communication to Professor Mitchell, A.R., 1983.

    Google Scholar 

  9. Wilson, A. Spatial effects of a model for the budworm balsam fir ecosystem, preprint, 1981.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Yu, G.B., Sleeman, B.D. (1985). Spatial patterning of the spruce budworm in the presence of defoliation. In: Sleeman, B.D., Jarvis, R.J. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 1151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074728

Download citation

  • DOI: https://doi.org/10.1007/BFb0074728

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15694-9

  • Online ISBN: 978-3-540-39640-6

  • eBook Packages: Springer Book Archive