Dynamical Behavior of a System of Third-Order Rational Difference Equation
This paper deals with the boundedness, persistence, and global asymptotic stability of positive solution for a system of third-order rational difference equations xn+1=A+xn/yn-1yn-2, yn+1=A+yn/xn-1xn-2, n=0,1,…, where A∈(0,∞), x-i∈(0,∞); y-i∈(0,∞), i=0,1,2. Some examples are given to demonstrate the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/530453 |
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| Summary: | This paper deals with the boundedness, persistence, and global asymptotic stability of positive solution for a system of third-order rational difference equations xn+1=A+xn/yn-1yn-2, yn+1=A+yn/xn-1xn-2, n=0,1,…, where A∈(0,∞), x-i∈(0,∞); y-i∈(0,∞), i=0,1,2. Some examples are given to demonstrate the effectiveness of the results obtained. |
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| ISSN: | 1026-0226 1607-887X |