研究一个具有改进的Leslie—Grower式的HoUing—Tanner模型.分析了该系统的平衡点性态,利用Dulac函数证明了系统在正平衡点外围不存在极限环,从而证明了正平衡点在第一象限内是全局渐近稳定的.
We considered a Holling - Tanner model with modified Leslie - Grower. The existence and stability of the equilibria of the system are analyzed. It is proved that there is no limit cycle around the positive equilibra by constructing Dulac function, thus global asymptotic stability of the positive equilibria is proved in the first quadrant.