Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a discrete space-time Lotka–Volterra model with the periodic boundary conditions and feedback control is proposed.
By means of a discrete version of comparison theorem, the boundedness of the nonnegative solution of the system is proved.
By the combination of the Volterra-type and quadratic Lyapunov functions, the global asymptomatic stability of the unique positive equilibrium is investigated.
Finally, numerical simulations are presented to verify the effectiveness of the main results.
American Psychological Association (APA)
Xu, Li& Han, Ruiwen. 2020. Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1140046
Modern Language Association (MLA)
Xu, Li& Han, Ruiwen. Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1140046
American Medical Association (AMA)
Xu, Li& Han, Ruiwen. Global Stability for a Discrete Space-Time Lotka–Volterra System with Feedback Control. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1140046
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140046
