Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 17, Issue 6, Pages 2267-2280Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcdsb.2012.17.2267
Keywords
Reaction-diffusion systems; spreading speed
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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 root f'(0). Some of these criteria improve the classical condition f (u) <= f'(0)u, and permit the presence of sharp Allee effects. Inequalities which guarantee the failure of linear determinacy are also presented.
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