Dynamics in a Delayed Competition System on a Weighted Network
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study the stability of positive steady states in a delayed competition system on a weighted network, which does not satisfy the comparison principle appealing to classical competitive systems.
By introducing some auxiliary equations and constructing proper contracting rectangles, we present some sufficient conditions on the stability of the unique positive steady state.
Moreover, some numerical examples are given to explore the complex dynamics of this nonmonotone model, which implies the nontrivial roles of weights and time delays.
American Psychological Association (APA)
Tong, Yaohua& Wang, Xiaoling. 2020. Dynamics in a Delayed Competition System on a Weighted Network. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153312
Modern Language Association (MLA)
Tong, Yaohua& Wang, Xiaoling. Dynamics in a Delayed Competition System on a Weighted Network. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1153312
American Medical Association (AMA)
Tong, Yaohua& Wang, Xiaoling. Dynamics in a Delayed Competition System on a Weighted Network. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153312
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153312