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Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management
Joint Authors
Chen, Lansun
Liu, Shouzong
Song, Xinyu
Huang, Mingzhan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (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،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1145588
Modern Language Association (MLA)
Huang, Mingzhan…[et al.]. Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management. Complexity No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1145588
American Medical Association (AMA)
Huang, Mingzhan& Liu, Shouzong& Song, Xinyu& Chen, Lansun. Dynamics of Unilateral and Bilateral Control Systems with State Feedback for Renewable Resource Management. Complexity. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1145588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145588