中文摘要：

研究均匀搅拌的Chemostat中微生物连续培养的单食物链模型．模型的特点是在营养输入项中引入时变环境，以便更逼真地模拟自然现象．用单特征值分歧定理得到了周期解存在的条件。用Crandall—Rabinowitz定理证明了单种群分歧解的稳定性．

英文摘要：

This paper deals with a food chain model of microbial continuous culture in Chemostat with time varying environment. The existence of periodic solutions is determined by the bifurcation theory from simple eigenvalues. In addition, the stability of periodic solutions for one species model is obtained via the Crandall-Rabinowitz stability theorems.