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 |
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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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| _version_ | 1832559083007246336 |
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| author | Qianhong Zhang Jingzhong Liu Zhenguo Luo |
| author_facet | Qianhong Zhang Jingzhong Liu Zhenguo Luo |
| author_sort | Qianhong Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-802dc2787d6d407eafb97287ac75de12 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-802dc2787d6d407eafb97287ac75de122025-02-03T01:30:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/530453530453Dynamical Behavior of a System of Third-Order Rational Difference EquationQianhong Zhang0Jingzhong Liu1Zhenguo Luo2Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, ChinaDepartment of Mathematics and Physics, Hunan Institute of Technology, Hengyang, Hunan 421002, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421002, ChinaThis 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.http://dx.doi.org/10.1155/2015/530453 |
| spellingShingle | Qianhong Zhang Jingzhong Liu Zhenguo Luo Dynamical Behavior of a System of Third-Order Rational Difference Equation Discrete Dynamics in Nature and Society |
| title | Dynamical Behavior of a System of Third-Order Rational Difference Equation |
| title_full | Dynamical Behavior of a System of Third-Order Rational Difference Equation |
| title_fullStr | Dynamical Behavior of a System of Third-Order Rational Difference Equation |
| title_full_unstemmed | Dynamical Behavior of a System of Third-Order Rational Difference Equation |
| title_short | Dynamical Behavior of a System of Third-Order Rational Difference Equation |
| title_sort | dynamical behavior of a system of third order rational difference equation |
| url | http://dx.doi.org/10.1155/2015/530453 |
| work_keys_str_mv | AT qianhongzhang dynamicalbehaviorofasystemofthirdorderrationaldifferenceequation AT jingzhongliu dynamicalbehaviorofasystemofthirdorderrationaldifferenceequation AT zhenguoluo dynamicalbehaviorofasystemofthirdorderrationaldifferenceequation |