On sufficient conditions for a linearly determinate spreading speed

Hans Weinberger

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


It is shown how to construct criteria of the form f(u) f(0)K(u) which guarantee that the spreading speed c* of a reaction-diffusion equation with the reaction term f(u) is linearly determinate in the sense that c* = 2 (0). Some of these criteria improve the classical condition f(u)(0)u, and permit the presence of sharp Allee effects. Inequalities which guarantee the failure of linear determinacy are also presented.

Original languageEnglish (US)
Pages (from-to)2267-2280
Number of pages14
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number6
StatePublished - 2012


  • Reaction-diffusion systems
  • Spreading speed


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