Dynamics of positive solutions of a three dimensional higher order system of difference equations
In this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1=A+ynyn−k,yn+1=A+znzn−k,zn+1=A+xnxn−k,n∈ℕ0,A>0x−i,y−i,z−i,i∈{0,1,2,…,k}k∈ℕ
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Miskolc University Press
2024-01-01
|
| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4722 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832592217536987136 |
|---|---|
| author | Murad Khan Hassani Yasin Yazlik Nouressadat Touafek |
| author_facet | Murad Khan Hassani Yasin Yazlik Nouressadat Touafek |
| author_sort | Murad Khan Hassani |
| collection | DOAJ |
| description | In this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1=A+ynyn−k,yn+1=A+znzn−k,zn+1=A+xnxn−k,n∈ℕ0,A>0x−i,y−i,z−i,i∈{0,1,2,…,k}k∈ℕ |
| format | Article |
| id | doaj-art-70831a1411ba44fd994d0377168213e3 |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-70831a1411ba44fd994d0377168213e32025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125272310.18514/MMN.2024.4722Dynamics of positive solutions of a three dimensional higher order system of difference equationsMurad Khan HassaniYasin YazlikNouressadat TouafekIn this paper, we study the global behavior of positive solutions of the following system of difference equations xn+1=A+ynyn−k,yn+1=A+znzn−k,zn+1=A+xnxn−k,n∈ℕ0,A>0x−i,y−i,z−i,i∈{0,1,2,…,k}k∈ℕhttp://mat76.mat.uni-miskolc.hu/mnotes/article/4722 |
| spellingShingle | Murad Khan Hassani Yasin Yazlik Nouressadat Touafek Dynamics of positive solutions of a three dimensional higher order system of difference equations Miskolc Mathematical Notes |
| title | Dynamics of positive solutions of a three dimensional higher order system of difference equations |
| title_full | Dynamics of positive solutions of a three dimensional higher order system of difference equations |
| title_fullStr | Dynamics of positive solutions of a three dimensional higher order system of difference equations |
| title_full_unstemmed | Dynamics of positive solutions of a three dimensional higher order system of difference equations |
| title_short | Dynamics of positive solutions of a three dimensional higher order system of difference equations |
| title_sort | dynamics of positive solutions of a three dimensional higher order system of difference equations |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4722 |
| work_keys_str_mv | AT muradkhanhassani dynamicsofpositivesolutionsofathreedimensionalhigherordersystemofdifferenceequations AT yasinyazlik dynamicsofpositivesolutionsofathreedimensionalhigherordersystemofdifferenceequations AT nouressadattouafek dynamicsofpositivesolutionsofathreedimensionalhigherordersystemofdifferenceequations |