Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment

doi:10.1007/s10483-008-0110-x

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	Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment
	Meng Xin-zhu 1,2; Zhao Qiu-lan 1; Chen Lan-sun 2,3
	2008
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	29 期号:1 页码:75-87
摘要	In this paper, we consider a new Monod type chemostat model with time delay and impulsive input concentration of the nutrient in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain a "microorganism-extinction" periodic solution. Further, we establish the sufficient conditions for the global attractivity of the inicroorganism-extinction periodic solution. Using new computational techniques for impulsive and delayed differential equation, we prove that the system is permanent under appropriate conditions. Our results show that time delay is "profitless".
关键词	permanence impulsive input chemostat model time delay for growth response extinction
DOI	10.1007/s10483-008-0110-x
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000252664400010
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6473
专题	中国科学院数学与系统科学研究院
通讯作者	Meng Xin-zhu
作者单位	1.Shandong Univ Sci & Technol, Coll Sci, Qingdao, Shandong Prov 116024, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning Prov, Peoples R China 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Meng Xin-zhu,Zhao Qiu-lan,Chen Lan-sun. Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2008,29(1):75-87.
APA	Meng Xin-zhu,Zhao Qiu-lan,&Chen Lan-sun.(2008).Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,29(1),75-87.
MLA	Meng Xin-zhu,et al."Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 29.1(2008):75-87.