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Zbl 1221.37209
Zhao, Zhong; Chen, Lansun; Song, Xinyu
Extinction and permanence of chemostat model with pulsed input in a polluted environment. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1737-1745 (2009). ISSN 1007-5704

Summary: A chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find the microorganism eradication periodic solution is globally asymptotically stable if some conditions are needed. At the same time we can find the condition of the nutrient and microorganism are permanent.
MSC 2000:
*37N25 Dynamical systems in biology
34D05 Asymptotic stability of ODE
92D25 Population dynamics
34D20 Lyapunov stability of ODE

Keywords: chemostat model; stability; extinction; permanence

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