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Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment. (English) Zbl 1196.92041
Summary: 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, this is globally attractive. The permanence condition of the investigated system is also obtained by the theory of impulsive delay differential equations. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat.
MSC:
92D40Ecology
34K45Functional-differential equations with impulses
37N25Dynamical systems in biology
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