On the minimal speed and asymptotics of the wave solutions for the lotka volterra system

Details On the minimal speed and asymptotics of the wave solutions for the lotka volterra system On the minimal speed and asymptotics of the wave solutions for the lotka volterra system

2010-02-15

arxiv.org/abs/1002.2882v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

e study the minimal wave speed and the asymptotics of the traveling wave solutions of a competitive Lotka Volterra system. The existence of the traveling wave solutions is derived by monotone iteration. The asymptotic behaviors of the wave solutions are derived by comparison argument and the exponential dichotomy, which seems to be the key to understand the geometry and the stability of the wave solutions. Also the uniqueness and the monotonicity of the waves are investigated via a generalized sliding domain method.

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