Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property
文献类型：期刊论文
| 作者 | Guo, Hongjian1; Chen, Lansun2; Song, Xinyu1 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2015-11-15 |
| 卷号 | 271页码:905-922 |
| ISSN号 | 0096-3003 |
| 关键词 | Consumer-resource system Impulsive semidynamical system Impulsive state feedback control Bistability Order-k(k >= 1) periodic solution Orbital stability |
| DOI | 10.1016/j.amc.2015.09.046 |
| 英文摘要 | A kind of consumer-resource system is proposed to describe the bidirectional interactions of the algae and the fish in an eutrophic water body. The dynamical properties of the proposed continuous system are given. For the bistable case, an impulsive semidynamical system with state feedback control, which depends on the biomass of the algae, is formulated and investigated to consider the feasibility of state feedback control for the aim of maintaining two species coexisting. The impulsive semidynamical system has three cases corresponding to three kinds of control measures: releasing fish, spraying algaecide, integrated control combining releasing fish and spraying algaecide. The existences of order-1 periodic solutions of three models are discussed by using successor function, respectively. The conditions under which the order-1 periodic solution is stable are given by using the Poincare map and the analogue of Poincare criterion. Mathematical results show that, for every one of three control strategies, there exists a range of control parameter in which the corresponding control is feasible. Finally, those mathematical results are verified by numerical simulations and the practical meanings are given. (C) 2015 Elsevier Inc. All rights reserved. |
| 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 |
| 语种 | 英语 |
| 出版者 | ELSEVIER SCIENCE INC |
| WOS记录号 | WOS:000367819300012 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21676]  |
| 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. Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,271:905-922. |
| APA | Guo, Hongjian,Chen, Lansun,&Song, Xinyu.(2015).Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property.APPLIED MATHEMATICS AND COMPUTATION,271,905-922. |
| MLA | Guo, Hongjian,et al."Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property".APPLIED MATHEMATICS AND COMPUTATION 271(2015):905-922. |
入库方式： OAI收割
来源：数学与系统科学研究院
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