Periodic solution of a chemostat model with variable yield and impulsive state feedback control |
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| Authors: | Zuxiong Li Lansun Chen |
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| Institution: | a Department of Mathematics, Hubei University for Nationalities, Enshi 445000, PR China
b School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | In this paper, a chemostat model with variable yield and impulsive state feedback control is considered. We obtain sufficient conditions of the globally asymptotical stability of the system without impulsive state feedback control. We also obtain that the system with impulsive state feedback control has periodic solution of order one. Sufficient conditions for existence and stability of periodic solution of order one are given. In some cases, it is possible that the system exists periodic solution of order two. Our results show that the control measure is effective and reliable. |
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| Keywords: | Chemostat Impulsive effect State feedback control Globally asymptotical stability Periodic solution |
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