A kind of non-traditional biomanipulation model with constant releasing fish

doi:10.1002/mma.4340

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	A kind of non-traditional biomanipulation model with constant releasing fish
	Guo, Hongjian 1; Chen, Lansun 2; Song, Xinyu 1
	2017-09-15
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	40 期号:13 页码:4727-4737
摘要	On the basis of the ideas of non-traditional biomanipulation control in fresh water body, a kind of nutrient-algae fish model is presented to investigate the effects of constant releasing fish on the nutrient and the algae. The threshold conditions for the extinction of the algae are obtained by discussing the stability of boundary equilibrium. The conditions for the coexistence of the algae and the fish are obtained by discussing the existence and stability of positive equilibrium. Besides, Hopf bifurcation is also analyzed by considering the parameter about the amount of the released fish. Furthermore, a kind of optimal problem is presented, and the necessary condition for the existence of the optimal solution is given by Pontryagin maximum principle. Finally, the mathematical results are verified by numerical simulations. The mathematical results show that there is a threshold amount of the released fish, above which the activity of releasing fish can control the growth of the algae and further reduce the probability of the algae bloom, but can not decrease the eutrophication level of the water body. Copyright (c) 2017 John Wiley & Sons, Ltd.
关键词	ecological ecosystem model biological control extinction permanence stability
DOI	10.1002/mma.4340
语种	英语
资助项目	National Natural Science Foundation of China[11371306] ; National Natural Science Foundation of China[11171284] ; Program for Science and Technology Innovation Talents in Universities of Henan Province[14HASTIT046]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000405559900008
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26128
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Hongjian
作者单位	1.Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Hongjian,Chen, Lansun,Song, Xinyu. A kind of non-traditional biomanipulation model with constant releasing fish[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(13):4727-4737.
APA	Guo, Hongjian,Chen, Lansun,&Song, Xinyu.(2017).A kind of non-traditional biomanipulation model with constant releasing fish.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(13),4727-4737.
MLA	Guo, Hongjian,et al."A kind of non-traditional biomanipulation model with constant releasing fish".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.13(2017):4727-4737.