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

文献类型：期刊论文

作者Jiao, Jianjun1; Chen, Lansun2
刊名JOURNAL OF MATHEMATICAL CHEMISTRY
出版日期2009-08-01
卷号46期号:2页码:502-513
关键词Chemostat model Delayed response in growth Pulse input in polluted environment Extinction Permanence
ISSN号0259-9791
DOI10.1007/s10910-008-9474-4
英文摘要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.
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
语种英语
WOS记录号WOS:000266926000012
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8192]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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