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On the study of chemostat model with pulsed input in a polluted environment. (English) Zbl 1187.34063

Summary: A chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution is globally asymptotically stable if the impulsive period \(T\) is more than a critical value. At the same time, we can find that the nutrient and microorganism are permanent if the impulsive period \(T\) is less than the critical value.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34A37 Ordinary differential equations with impulses
34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
92D40 Ecology
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References:

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