一类营养基消耗微生物模型的极限环

The Limit Cycle of a Class of Consumed Nutrition Microorganism Models

本文对一类微生物模型进行了定性分析,得到了在第一象限内正奇点为不稳定时,围绕该奇点存在唯一稳定的极限环。当正奇点为稳定时,所有轨线(当t→+∞)都趋向该奇点。

In this paper some conclusions were drawn by discussing the qualitative properties of a class of microorganism models. It discovered there is an only stable limit cycle around the equilibrium point when the point is unstable in the first quadrant; on the contrary, all trajecties of the system tend to the point when the point is stable in the first quadrant.