Dong, Li; Wei, Chunjin; Zhang, Shuwen A chemostat model with impulsive toxicant input and nutrient recycling. (Chinese. English summary) Zbl 1313.92051 J. Biomath. 28, No. 3, 473-478 (2013). 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 Keywords:impulsive toxicant input; nutrient recycling; chemostat; permanence PDFBibTeX XMLCite \textit{L. Dong} et al., J. Biomath. 28, No. 3, 473--478 (2013; Zbl 1313.92051)