Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations
The purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. Firstly, by utilizing Jacobian theory, the stability of the system is obtained. Then, we explore the saddle point, nonhyperbolic point, and prime period-two solution and its boundedness. Fin...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/6565273 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832569072357736448 |
|---|---|
| author | Weizhen Quan Xiaomei Lu Li Wang Jingren Zhou Ridi Huang |
| author_facet | Weizhen Quan Xiaomei Lu Li Wang Jingren Zhou Ridi Huang |
| author_sort | Weizhen Quan |
| collection | DOAJ |
| description | The purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. Firstly, by utilizing Jacobian theory, the stability of the system is obtained. Then, we explore the saddle point, nonhyperbolic point, and prime period-two solution and its boundedness. Finally, we verify the results obtained in the paper via computer numerical calculations. |
| format | Article |
| id | doaj-art-bbbf5d640c4341e3bb653d228ee911b6 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bbbf5d640c4341e3bb653d228ee911b62025-02-02T23:19:06ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/6565273Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference EquationsWeizhen Quan0Xiaomei Lu1Li Wang2Jingren Zhou3Ridi Huang4Department of MathematicsCollege of Digital EconomicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. Firstly, by utilizing Jacobian theory, the stability of the system is obtained. Then, we explore the saddle point, nonhyperbolic point, and prime period-two solution and its boundedness. Finally, we verify the results obtained in the paper via computer numerical calculations.http://dx.doi.org/10.1155/2024/6565273 |
| spellingShingle | Weizhen Quan Xiaomei Lu Li Wang Jingren Zhou Ridi Huang Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations Discrete Dynamics in Nature and Society |
| title | Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations |
| title_full | Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations |
| title_fullStr | Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations |
| title_full_unstemmed | Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations |
| title_short | Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations |
| title_sort | asymptotics and periodicity of positive solutions on a nonlinear rational system of difference equations |
| url | http://dx.doi.org/10.1155/2024/6565273 |
| work_keys_str_mv | AT weizhenquan asymptoticsandperiodicityofpositivesolutionsonanonlinearrationalsystemofdifferenceequations AT xiaomeilu asymptoticsandperiodicityofpositivesolutionsonanonlinearrationalsystemofdifferenceequations AT liwang asymptoticsandperiodicityofpositivesolutionsonanonlinearrationalsystemofdifferenceequations AT jingrenzhou asymptoticsandperiodicityofpositivesolutionsonanonlinearrationalsystemofdifferenceequations AT ridihuang asymptoticsandperiodicityofpositivesolutionsonanonlinearrationalsystemofdifferenceequations |