Spatial patterning of the spruce budworm

D. Ludwig, D. G. Aronson, H. F. Weinberger

Research output: Contribution to journalArticlepeer-review

164 Scopus citations


The spatial and temporal distribution of the spruce budworm is modelled by a nonlinear diffusion equation. Two questions are considered: 1. What is the critical size of a patch of forest which can support an outbreak? 2. What is the width of an effective barrier to spread of an outbreak? Answers to these questions are obtained with the aid of comparison methods for nonlinear diffusion equations.

Original languageEnglish (US)
Pages (from-to)217-258
Number of pages42
JournalJournal of Mathematical Biology
Issue number3
StatePublished - Oct 1979


  • Comparison methods
  • Nonlinear diffusion
  • Spatial patterning
  • Spruce Budworm


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