Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment

In this paper, a chemostat model with delayed response in growth and pulse input in polluted environment is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat. Supported by National Natural Science Foundation of China (10771179). The Nomarch Fund of Guizhou Province, and the Science Technology Fund of Guizhou Province.