The Permanence of a Resource-Population Chemostat Model with Seasonality

摘要

An impulsive delayed chemostat model with seasonality is formulated and analyzed. By introducing two thresholds, we obtain sufficient conditions for permanence of the system. It is shown that the conditions depend on time delay for the permanence of the model. Numerical results show that the system we considered has complex dynamics and the results we obtained conform to the fact of biological conservation