State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate

doi:10.1016/j.amc.2019.125007

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	State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate
	Zhang, Meng 1,2; Zhao, Yi 1; Chen, Lansun 3; Li, Zeyu 4
	2020-05-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	373 页码:17
摘要	With the development of industry pollution, water bloom caused by nutriment distribution has become a serious problem which has perplexed biologists for a long time. The plankton population increase, which is influenced a lot by nutritional utilization rate, can be expressed best with Q. Cui's model. The authors carry out a state feedback impulsive model to describe the control of investing fries and harvesting adult fish which is assisted with the plankton population regulation. The existence of order-1 and order-2 periodic solutions are studied, and their stabilities are discussed in addition. In the end, the numerical simulations show some specific cases of periodic solution and their biological meanings are put forward. (C) 2019 Elsevier Inc. All rights reserved.
关键词	State feedback Impulsive model Ecological balance Order-2 periodic solution
DOI	10.1016/j.amc.2019.125007
收录类别	SCI
语种	英语
资助项目	NSFC[11671346] ; NSFC[61751317] ; NSFC[11701026] ; Fundamental Research Funds for Beijing University of Civil Engineering and Architecture, China[X18225] ; Fundamental Research Funds for Beijing University of Civil Engineering and Architecture, China[X19031] ; China Scholarship Council[201808110071]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000510856300019
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50763
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Meng
作者单位	1.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Beijing Technol & Business Univ, Canvard Coll, Beijing 101118, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Meng,Zhao, Yi,Chen, Lansun,et al. State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate[J]. APPLIED MATHEMATICS AND COMPUTATION,2020,373:17.
APA	Zhang, Meng,Zhao, Yi,Chen, Lansun,&Li, Zeyu.(2020).State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate.APPLIED MATHEMATICS AND COMPUTATION,373,17.
MLA	Zhang, Meng,et al."State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate".APPLIED MATHEMATICS AND COMPUTATION 373(2020):17.