Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant

doi:10.1016/j.chaos.2010.11.001

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	Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant
	Jiao, Jianjun 1; Ye, Kaili 2; Chen, Lansun 3
	2011
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	44 期号:1-3 页码:17-27
摘要	In this paper, we consider a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally asymptotically stable. The permanent condition of the investigated system is also analyzed by the theory on impulsive differential equation. Our results reveal that the chemostat environmental changes play an important role on the outcome of the chemostat. (C) 2010 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2010.11.001
语种	英语
资助项目	National Natural Science Foundation of China[10961008] ; Development Project of Nature Science Research of Guizhou Province Department[2010027] ; Science Technology Foundation of Guizhou[2010J2130]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000289015200003
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/12032
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, Guiyang 550004, Peoples R China 2.Xinyang Normal Univ, Sch Econ & Management, Xinyang 464000, Henan, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiao, Jianjun,Ye, Kaili,Chen, Lansun. Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant[J]. CHAOS SOLITONS & FRACTALS,2011,44(1-3):17-27.
APA	Jiao, Jianjun,Ye, Kaili,&Chen, Lansun.(2011).Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant.CHAOS SOLITONS & FRACTALS,44(1-3),17-27.
MLA	Jiao, Jianjun,et al."Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant".CHAOS SOLITONS & FRACTALS 44.1-3(2011):17-27.