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Minimal wave speed of a competition integrodifference system
Authors:Luping Li  Shugui Kang  Lili Kong  Huiqin Chen
Institution:College of Mathematics and Computer Science, Shanxi Datong University , Datong, P.R. China.
Abstract:In this paper, we study the minimal wave speed of a competitive system. By constructing upper and lower solutions, we confirm the existence of travelling wave solution at the critical wave speed. This completes earlier results found in the literature. Our conclusion implies that the asymptotic decay behaviour of solutions at the critical wave speed is different from that of solutions at larger wave speeds.
Keywords:Comparison principle  upper and lower solutions  decay behaviour  asymptotic spreading
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