消耗率为常数的连续发酵中的非线性振荡

Limit Cycles in Continuous Fermentation with Constant Yields

在研究2个微生物竞争同一营养的连续发酵中的非线性振荡现象时,人们常常假设消耗率为非常数。利用三维Hopf分支理论证明了消耗率为常数的连续发酵模型的极限环的存在性,为深入讨论这类模型提供了又一途径。

In order to study the nonlinear oscillation in the continuous fermentation of two competitors for a single nutrient, one has to give up the assumption of constant yields. In this paper, we prove, by using a 3 -D Hopf bifurcation, the existence of limit cycles in the continuous fermentation with constant yields, and then bring a new direction in this study.