On diffusion-induced blowups in a mutualistic model

Yuan Lou, Thomas Nagylaki, Wei Ming Ni

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.

Original languageEnglish (US)
Pages (from-to)329-342
Number of pages14
JournalNonlinear Analysis, Theory, Methods and Applications
Volume45
Issue number3
DOIs
StatePublished - Jul 1 2001

Keywords

  • Blowup
  • Diffusion
  • Ecology
  • Mutualistic model

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