一类具有常数投放率的kolmogorov系统的定性分析

Qualitative Analysis of a Class of Kolmogorov's System with Constant Stocking Rate

本文讨论了一类具有常数投放率的Kolmogorov系统(Ⅰ),在第一象限得到了可行平衡点的全局稳定性、正平衡点的全局稳定性条件以及围绕正平衡点极限环的存在唯一性,推广了[6]中的结论,并对所得结论给予了生物解释。

This paper deals with a class of kolmogorov's differential system (I) with constant stocking rate. In first quadrant, we have the global stability of possible equilibrium point, and the condition of global stability of positive equilibrium point, and the existence and uniqueness of limit cycle surrounding the positive equilibrium point, and therefore generalize the conclusions in [6], and give bio- logical interpretation to our results.