caa a22 4500 445361042 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9788-1 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9788-1 Nonlinear modelling of chemostat model with time delay and impulsive effect [Elektronische Daten] [Zhong Zhao, Xiuquan Zhang, Lansun Chen] In this paper, a chemostat model with periodically pulsed input and time delay is considered. We show that there exists a microorganism-free periodic solution, which is globally attractive when the period of impulsive effect is less than some critical value. Further, we give the sufficient conditions for the permanence of the model with time delay and pulsed input. We show that time delay, impulsive input can bring different effects on the dynamic behavior of the model by numerical analysis. We show that impulsive effect destroys the equilibria of the unforced continuous system and initiates periodic solution. Our results can be applied to culture the microorganism. Springer Science+Business Media B.V., 2010 Chemostat model nationallicence Time delay nationallicence Global attractivity nationallicence Permanence nationallicence Zhao Zhong Department of Mathematics, Huanghuai University, 463000, Zhumadian, Henan, PR China aut Zhang Xiuquan Department of Mathematics, Huanghuai University, 463000, Zhumadian, Henan, PR China aut Chen Lansun Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, PR China aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 95-104 0924-090X 63:1-2<95 2011 63 11071 https://doi.org/10.1007/s11071-010-9788-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9788-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhao Zhong Department of Mathematics, Huanghuai University, 463000, Zhumadian, Henan, PR China aut NATIONALLICENCE 700 1- Zhang Xiuquan Department of Mathematics, Huanghuai University, 463000, Zhumadian, Henan, PR China aut NATIONALLICENCE 700 1- Chen Lansun Department of Applied Mathematics, Dalian University of Technology, 116024, Dalian, PR China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 95-104 0924-090X 63:1-2<95 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer