本篇論文先討論常用的競爭-擴散系統進行物種競爭的研究,藉由三物種(u,v,w)的行波方程式,將u=0(或v=0)建構出(v,w)(或(u,w))兩物種競爭系統的行波解,黏出三物種情況。利用matlab做數值分析,在不同的影響因素下,探討其三物種生存空間的分布,並探討其不穩定的行為。 This paper first discusses the commonly used competition-diffusion system for species competition. By using the traveling wave equations of three species (u, v,w),u=0(or v=0) is constructed (v,w)(or (u,w)) the traveling wave solution of the two species competition system.Using MATLAB to do numerical analysis, under different influencing factors, the distribution of the living space of the three species was discussed, and its unstable behavior was discussed.