Global Behavior of xn+1=(α+βxn-k)(γ+xn)
Joint Authors
Yang, Xiaofan
Zhang, Chunming
Gan, Chenquan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
This paper aims to investigate the global stability of negative solutions of the difference equation xn+1=(α+βxn-k)/(γ+xn), n=0,1,2,…, where the initial conditions x-k,…,x0∈-∞,0, k is a positive integer, and the parameters β, γ<0, α>0.
By utilizing the invariant interval and periodic character of solutions, it is found that the unique negative equilibrium is globally asymptotically stable under some parameter conditions.
Additionally, two examples are given to illustrate the main results in the end.
American Psychological Association (APA)
Gan, Chenquan& Yang, Xiaofan& Zhang, Chunming. 2013. Global Behavior of xn+1=(α+βxn-k)(γ+xn). Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-511890
Modern Language Association (MLA)
Gan, Chenquan…[et al.]. Global Behavior of xn+1=(α+βxn-k)(γ+xn). Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-511890
American Medical Association (AMA)
Gan, Chenquan& Yang, Xiaofan& Zhang, Chunming. Global Behavior of xn+1=(α+βxn-k)(γ+xn). Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-511890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511890