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对两种群竞争模型ｘ＝ｘ（ɑ－ｂｘ－ｃｙ－ｋｘｙ）ｘｆ１（ｘ，ｙ），ｙ＝ｙ（ｅ－ｆｘ－ｇｙ－ｌｘｙ）ｙｆ２（ｘ，ｙ）｛的平衡点的全局稳定性和极限环的存在性作定性研究，得到了正平衡点全局稳定的充分条件，证明了该系统在第一象限内不存在极限环．
The global equilibrium of two kinds of group competition models x = x (ɑ-bx-cy-kxy) xf1 (x, y) and y = y (e-fx- gy- lxy) yf2 (x, y) The stability and the existence of the limit cycle are qualitatively studied. The sufficient condition for global stability of the positive equilibrium point is obtained. It is proved that there is no limit cycle in the first quadrant.