Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management

doi:10.1155/2020/9453941

	Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management
	Huang, Mingzhan 1; Liu, Shouzong 1; Song, Xinyu 1; Chen, Lansun 2
刊名	COMPLEXITY
	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
出版者	WILEY-HINDAWI
WOS记录号	WOS:000522261600004
内容类型	期刊论文
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.