Dynamic Complexity of a Phytoplankton-Fish Model with the Impulsive Feedback Control by means of Poincaré Map
Joint Authors
Cheng, Huidong
Li, Dezhao
Liu, Yu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The phytoplankton-fish model for catching fish with impulsive feedback control is established in this paper.
Firstly, the Poincaré map for the phytoplankton-fish model is defined, and the properties of monotonicity, continuity, differentiability, and fixed point of Poincaré map are analyzed.
In particular, the continuous and discontinuous properties of Poincaré map under different conditions are discussed.
Secondly, we conduct the analysis of the necessary and sufficient conditions for the existence, uniqueness, and global stability of the order-1 periodic solution of the phytoplankton-fish model and obtain the sufficient conditions for the existence of the order-kk≥2 periodic solution of the system.
Numerical simulation shows the correctness of our results which show that phytoplankton and fish with the impulsive feedback control can live stably under certain conditions, and the results have certain reference value for the dynamic change of phytoplankton in aquatic ecosystems.
American Psychological Association (APA)
Li, Dezhao& Liu, Yu& Cheng, Huidong. 2020. Dynamic Complexity of a Phytoplankton-Fish Model with the Impulsive Feedback Control by means of Poincaré Map. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1145298
Modern Language Association (MLA)
Li, Dezhao…[et al.]. Dynamic Complexity of a Phytoplankton-Fish Model with the Impulsive Feedback Control by means of Poincaré Map. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1145298
American Medical Association (AMA)
Li, Dezhao& Liu, Yu& Cheng, Huidong. Dynamic Complexity of a Phytoplankton-Fish Model with the Impulsive Feedback Control by means of Poincaré Map. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1145298
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145298