摘要
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．
This paper is devoted to the quantitative study of two species competitive models=x(ɑ-bx-cy-kxy)xf1(x,y),=y(e-fx-gy-lxy)yf2(x,y)for the global stability of the equilibrum point and the existence of limit cycle,and sufficient conditions for the global stability of positive equilibrum point are obtained.The paper has also demonstrated that there is no existence of limit cycle for the system in the first quadrant.
出处
《四川师范学院学报（自然科学版）》
1998年第2期156-159,共4页
Journal of Sichuan Teachers College(Natural Science)
