A kind of non-traditional biomanipulation model with constant releasing fish
文献类型：期刊论文
| 作者 | Guo, Hongjian1; Chen, Lansun2; Song, Xinyu1 |
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2017-09-15 |
| 卷号 | 40期号:13页码:4727-4737 |
| 关键词 | ecological ecosystem model biological control extinction permanence stability |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.4340 |
| 英文摘要 | 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. |
| 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 |
| WOS记录号 | WOS:000405559900008 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26127]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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