密度分布非均匀的反馈控制Logistic单种群模型平衡态的稳定性

THE STABILITY OF POSITIVE STEADY STATE OF THE NON-HOMOGENEOUS DENSITY DISTRIBUTION SINGLE GENUS LOGISTIC MODELS WITH FEEDBACK CONTROL

本文对种群密度在非均匀分布情形下,考虑了具反馈控制的滞后 Logistic 生态模型平衡位置的稳定性;分别给出了在常时滞和弱连续时滞以及强连续时滞情况下的稳定性条件;其结果是对 Gopalsamy 在密度均匀分布情形下相应结果的推广.

In this paper,we discussed the stability of positive steady state of the non—homoge- neous density distribution single genus Logistic models with time—delays and feedback control and gave the some sufficien conditions by methods of Liapunov function.