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Behavior of a Competitive System of Second-Order Difference Equations
Joint Authors
Din, Q.
Ibrahim, T. F.
Khan, K. A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We study the boundedness and persistence, existence, and uniqueness of positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence of positive solutions of the following system of rational difference equations: x n + 1 = (α 1 + β 1 x n - 1 )/ (a 1 + b 1 y n ) , y n + 1 = (α 2 + β 2 y n - 1 )/ (a 2 + b 2 x n ) , where the parameters α i , β i , a i , and b i for i ∈ { 1,2 } and initial conditions x 0 , x - 1 , y 0 , and y - 1 are positive real numbers.
Some numerical examples are given to verify our theoretical results.
American Psychological Association (APA)
Din, Q.& Ibrahim, T. F.& Khan, K. A.. 2014. Behavior of a Competitive System of Second-Order Difference Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1049067
Modern Language Association (MLA)
Din, Q.…[et al.]. Behavior of a Competitive System of Second-Order Difference Equations. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1049067
American Medical Association (AMA)
Din, Q.& Ibrahim, T. F.& Khan, K. A.. Behavior of a Competitive System of Second-Order Difference Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1049067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049067