本論文主要研究三物種競爭合作關係之離散型Lotka-Volterra 模型行波解的穩定性問題。透過能量加權方法以及比較原則，在較大的速度下，我們證明了行波解具有指數穩定的特性。

In this thesis, we study the stability of traveling wave solutions for the three species competition cooperation system, which is the discrete version of the Lotka-Volterra system.
Applying the weighted energy method and the comparison principle, we can derive the result that the traveling wavefronts with large speed are exponentially stable.

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