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A chemostat model with impulsive toxicant input and nutrient recycling. (Chinese. English summary) Zbl 1313.92051

Summary: In this paper, we consider a chemostat model with impulsive toxicant input and nutrient recycling. We obtain a sufficient condition of the global asymptotic stability of boundary periodic solution. Furthermore, the sufficient condition for the permanence of the system is obtained.

MSC:

92D25 Population dynamics (general)
34C25 Periodic solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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