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Dynamics of a Discrete Allelopathic Phytoplankton Model with Infinite Delays and Feedback Controls
Joint Authors
Zhao, Liang
Chen, Fengde
Qin, Bin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-13
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A discrete allelopathic phytoplankton model with infinite delays and feedback controls is studied in this paper.
By applying the discrete comparison theorem, a set of sufficient conditions which guarantees the permanence of the system is obtained.
Also, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the extinction of the system are obtained.
Our results extend and supplement some known results and show that the feedback controls and toxic substances play a crucial role on the permanence and extinction of the system.
American Psychological Association (APA)
Zhao, Liang& Qin, Bin& Chen, Fengde. 2020. Dynamics of a Discrete Allelopathic Phytoplankton Model with Infinite Delays and Feedback Controls. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1153368
Modern Language Association (MLA)
Zhao, Liang…[et al.]. Dynamics of a Discrete Allelopathic Phytoplankton Model with Infinite Delays and Feedback Controls. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1153368
American Medical Association (AMA)
Zhao, Liang& Qin, Bin& Chen, Fengde. Dynamics of a Discrete Allelopathic Phytoplankton Model with Infinite Delays and Feedback Controls. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1153368
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153368