SPATIAL PROPAGATION FOR A PARABOLIC SYSTEM WITH MULTIPLE SPECIES COMPETING FOR SINGLE RESOURCE

摘要

A model of m species competing for a single growth-limiting resource is considered. We aim to use the dynamics of such a problem to describe the invasion and spread of m species which are introduced localized in space R-N. The existence, uniqueness and uniform boundedness of the Cauchy problem are investigated by semigroup theory and local L-P-estimates. The asymptotic speed of spread is achieved by uniform persistence ideas. The existence of traveling wave is obtained by upper-lower solutions and sliding techniques. Our result shows that the asymptotic speed of spread for m species is characterized by the minimum wave speed of the positive traveling wave solutions associated with this system.