Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment

doi:10.1007/s10910-008-9474-4

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	Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment
	Jiao, Jianjun 1; Chen, Lansun 2
	2009-08-01
发表期刊	JOURNAL OF MATHEMATICAL CHEMISTRY
ISSN	0259-9791
卷号	46 期号:2 页码:502-513
摘要	In this paper, a chemostat model with delayed response in growth and pulse input in polluted environment is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat.
关键词	Chemostat model Delayed response in growth Pulse input in polluted environment Extinction Permanence
DOI	10.1007/s10910-008-9474-4
语种	英语
资助项目	National Natural Science Foundation of China[10771179] ; Nomarch Fund of Guizhou Province ; Science Technology Fund of Guizhou Province
WOS研究方向	Chemistry ; Mathematics
WOS类目	Chemistry, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000266926000012
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8193
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.Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Sch Math & Stat, Guiyang 550004, Peoples R China 2.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Chen, Lansun. Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment[J]. JOURNAL OF MATHEMATICAL CHEMISTRY,2009,46(2):502-513.
APA	Jiao, Jianjun,&Chen, Lansun.(2009).Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment.JOURNAL OF MATHEMATICAL CHEMISTRY,46(2),502-513.
MLA	Jiao, Jianjun,et al."Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment".JOURNAL OF MATHEMATICAL CHEMISTRY 46.2(2009):502-513.