Spreading speeds for a partially cooperative 2-species reaction-diffusion model

Hans F. Weinberger, Kohkichi Kawasaki, Nanako Shigesada

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


It is shown that a trick introduced by H. R. Thieme [6] to study a one-species integral equation model with a nonmonotone operator can be used to show that some multispecies reaction-diffusion systems which are cooperative for small population densities but not for large ones have a spreading speed. The ideas are explained by considering a model for the interaction between ungulates and grassland.

Original languageEnglish (US)
Pages (from-to)1087-1098
Number of pages12
JournalDiscrete and Continuous Dynamical Systems
Issue number3
StatePublished - Mar 2009
Externally publishedYes


  • Partially cooperative
  • Reaction-diffusion system
  • Spreading speed


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