Global Character of a Six-Dimensional Nonlinear System of Difference Equations
The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: un+1=αun-1/β+γvn-2p, vn+1=α1vn-1/β1+γ1un-2p, n=0,1,…, where the parameters α,β,γ,α1,β1,γ1,p and the initial values u-i,v-i for i=0,1,2 are positive real...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/6842521 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553549014237184 |
|---|---|
| author | Mehmet Gümüş Yüksel Soykan |
| author_facet | Mehmet Gümüş Yüksel Soykan |
| author_sort | Mehmet Gümüş |
| collection | DOAJ |
| description | The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: un+1=αun-1/β+γvn-2p, vn+1=α1vn-1/β1+γ1un-2p, n=0,1,…, where the parameters α,β,γ,α1,β1,γ1,p and the initial values u-i,v-i for i=0,1,2 are positive real numbers. |
| format | Article |
| id | doaj-art-68a72cceb7a844bbaa90e21656546e70 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-68a72cceb7a844bbaa90e21656546e702025-02-03T05:53:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/68425216842521Global Character of a Six-Dimensional Nonlinear System of Difference EquationsMehmet Gümüş0Yüksel Soykan1Department of Mathematics, Faculty of Science and Arts, Bülent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Bülent Ecevit University, 67100 Zonguldak, TurkeyThe aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: un+1=αun-1/β+γvn-2p, vn+1=α1vn-1/β1+γ1un-2p, n=0,1,…, where the parameters α,β,γ,α1,β1,γ1,p and the initial values u-i,v-i for i=0,1,2 are positive real numbers.http://dx.doi.org/10.1155/2016/6842521 |
| spellingShingle | Mehmet Gümüş Yüksel Soykan Global Character of a Six-Dimensional Nonlinear System of Difference Equations Discrete Dynamics in Nature and Society |
| title | Global Character of a Six-Dimensional Nonlinear System of Difference Equations |
| title_full | Global Character of a Six-Dimensional Nonlinear System of Difference Equations |
| title_fullStr | Global Character of a Six-Dimensional Nonlinear System of Difference Equations |
| title_full_unstemmed | Global Character of a Six-Dimensional Nonlinear System of Difference Equations |
| title_short | Global Character of a Six-Dimensional Nonlinear System of Difference Equations |
| title_sort | global character of a six dimensional nonlinear system of difference equations |
| url | http://dx.doi.org/10.1155/2016/6842521 |
| work_keys_str_mv | AT mehmetgumus globalcharacterofasixdimensionalnonlinearsystemofdifferenceequations AT yukselsoykan globalcharacterofasixdimensionalnonlinearsystemofdifferenceequations |