Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input

doi:10.1016/j.chaos.2009.03.132

CSpace

	Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input
	Jiao, Jianjun 1,2; Yang, Xiaosong 1; Chen, Lansun 3; Cai, Shaohong 2
	2009-11-30
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	42 期号:4 页码:2280-2287
摘要	In this paper, a chemostat model with delayed response in growth and impulsive perturbations on the substrate is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution, further, the globally attractive condition of the microorganism-extinction periodic solution is obtained. By the use of the theory on delay functional and impulsive differential equation, we also obtain the permanent condition of the investigated system. Our results indicate that the discrete time delay has influence to the dynamics behaviors of the investigated system, and provide tactical basis for the experimenters to control the outcome of the chemostat. Furthermore, numerical analysis is inserted to illuminate the dynamics of the system affected by the discrete time delay. (C) 2009 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2009.03.132
语种	英语
资助项目	National Natural Science Foundation of China[10771179] ; Nomarch Fund of Guizhou Province[2008035] ; Science Technology Fund of Guizhou Province[2008J2250]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000269190000039
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8041
专题	中国科学院数学与系统科学研究院
通讯作者	Jiao, Jianjun
作者单位	1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Yang, Xiaosong,Chen, Lansun,et al. Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input[J]. CHAOS SOLITONS & FRACTALS,2009,42(4):2280-2287.
APA	Jiao, Jianjun,Yang, Xiaosong,Chen, Lansun,&Cai, Shaohong.(2009).Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input.CHAOS SOLITONS & FRACTALS,42(4),2280-2287.
MLA	Jiao, Jianjun,et al."Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input".CHAOS SOLITONS & FRACTALS 42.4(2009):2280-2287.