Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management
文献类型：期刊论文
| 作者 | Huang, Mingzhan1; Liu, Shouzong1; Song, Xinyu1; Chen, Lansun2 |
| 刊名 | COMPLEXITY
 |
| 出版日期 | 2020-03-10 |
| 卷号 | 2020页码:16 |
| ISSN号 | 1076-2787 |
| DOI | 10.1155/2020/9453941 |
| 英文摘要 | In this paper, mathematical models for the management of biological resources based on a given predator-prey relationship are proposed, and two types of control strategies, unilateral and bilateral control with impulsive state feedback, are studied. The existence of the order-1 homoclinic orbit, order-1 periodic solution, and bifurcation of homoclinic of the unilateral control system are obtained, and the attraction region of this system is also discussed. Besides, sufficient conditions for the existence and stability of the order-1 and order-2 periodic solutions of the bilateral control system are also gained. A series of numerical simulations including bifurcation diagrams of periodic solution are performed, which not only verify the theoretical results we get but also reveal some peculiar dynamical phenomena, such as the appearance of high-order periodic solutions and existence of parameter intervals with drastic order change of periodic solution. By comparing the two management strategies, our study encourages bilateral control rather than unilateral control for the risk of predator extinction. |
| 资助项目 | National Natural Science Foundation of China[11901502] ; National Natural Science Foundation of China[11671346] ; National Natural Science Foundation of China[11871415] ; Nanhu Scholars Program of XYNU, Nanhu Scholars Program for Young Scholars of XYNU ; Foundation for Distinguished Young Talents in Higher Education of Henan[2019GGJS157] |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000522261600004 |
| 出版者 | WILEY-HINDAWI |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51070]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Song, Xinyu |
| 作者单位 | 1.Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Mingzhan,Liu, Shouzong,Song, Xinyu,et al. Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management[J]. COMPLEXITY,2020,2020:16. |
| APA | Huang, Mingzhan,Liu, Shouzong,Song, Xinyu,&Chen, Lansun.(2020).Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management.COMPLEXITY,2020,16. |
| MLA | Huang, Mingzhan,et al."Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management".COMPLEXITY 2020(2020):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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