Dynamics Study and Solutions Expressions of Rational Discrete Systems
This article goal is to study the qualitative behaviors for the following rational difference systems Un+1=d1Un−1+a1Vn−5Un−1/b1+e1Vn−5+Vn−3s1+c1Vn−5VnUn−4Un−1,Vn+1=d2Vn−1+a2Un−5Vn−1/b2+e2Un−5+Un−3s2+c2Un−5UnVn−4Vn−1, namely, local asymptotic stable, global attractor of the equilibrium points and the...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/ddns/5583896 |
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| author | B. S. Alofi |
| author_facet | B. S. Alofi |
| author_sort | B. S. Alofi |
| collection | DOAJ |
| description | This article goal is to study the qualitative behaviors for the following rational difference systems Un+1=d1Un−1+a1Vn−5Un−1/b1+e1Vn−5+Vn−3s1+c1Vn−5VnUn−4Un−1,Vn+1=d2Vn−1+a2Un−5Vn−1/b2+e2Un−5+Un−3s2+c2Un−5UnVn−4Vn−1, namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive solutions. Moreover, we will find the expressions of solutions for special case of the system. Additionally, we introduce numerical examples to illustrate the results. |
| format | Article |
| id | doaj-art-8ed3d19277b640508ae6d8a48eb8f0d8 |
| institution | OA Journals |
| issn | 1607-887X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8ed3d19277b640508ae6d8a48eb8f0d82025-08-20T02:33:14ZengWileyDiscrete Dynamics in Nature and Society1607-887X2025-01-01202510.1155/ddns/5583896Dynamics Study and Solutions Expressions of Rational Discrete SystemsB. S. Alofi0Mathematics DepartmentThis article goal is to study the qualitative behaviors for the following rational difference systems Un+1=d1Un−1+a1Vn−5Un−1/b1+e1Vn−5+Vn−3s1+c1Vn−5VnUn−4Un−1,Vn+1=d2Vn−1+a2Un−5Vn−1/b2+e2Un−5+Un−3s2+c2Un−5UnVn−4Vn−1, namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive solutions. Moreover, we will find the expressions of solutions for special case of the system. Additionally, we introduce numerical examples to illustrate the results.http://dx.doi.org/10.1155/ddns/5583896 |
| spellingShingle | B. S. Alofi Dynamics Study and Solutions Expressions of Rational Discrete Systems Discrete Dynamics in Nature and Society |
| title | Dynamics Study and Solutions Expressions of Rational Discrete Systems |
| title_full | Dynamics Study and Solutions Expressions of Rational Discrete Systems |
| title_fullStr | Dynamics Study and Solutions Expressions of Rational Discrete Systems |
| title_full_unstemmed | Dynamics Study and Solutions Expressions of Rational Discrete Systems |
| title_short | Dynamics Study and Solutions Expressions of Rational Discrete Systems |
| title_sort | dynamics study and solutions expressions of rational discrete systems |
| url | http://dx.doi.org/10.1155/ddns/5583896 |
| work_keys_str_mv | AT bsalofi dynamicsstudyandsolutionsexpressionsofrationaldiscretesystems |