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In this paper, we study the minimal speed of traveling wave solutions for a diffusive three species competition system. Our main concern is the linear determinacy for the minimal speed. We provide some conditions on the parameters of the competition system such that the linear determinacy is assured. The main idea is by studying the linear determinacy of the corresponding approximated lattice dynamical systems and using the discrete Fourier transform.

THE MINIMAL SPEED OF TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE THREE SPECIES COMPETITION SYSTEM