Spatial patterning of the spruce budworm

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

Research output: Contribution to journalArticlepeer-review

136 Scopus citations

Abstract

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
Volume8
Issue number3
DOIs
StatePublished - Oct 1979

Keywords

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

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