Stability analysis for a rational difference equation
Most qualitative behaviours of difference equations are rapidly investigated nowadays. This can be attributed to the fact that it is often sophisticated to construct the exact solutions of most difference equations. This article is written to analyse the local stability, global attractor and the bou...
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| Format: | Article |
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Taylor & Francis Group
2020-01-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | http://dx.doi.org/10.1080/25765299.2020.1726557 |
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doaj-8088dcf0dd374c5e94de4acaaa3c31c62021-01-05T10:59:22ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992020-01-0127111412010.1080/25765299.2020.17265571726557Stability analysis for a rational difference equationM. B. Almatrafi0Marwa M. Alzubaidi1Department of Mathematics, Faculty of Science, Taibah UniversityDepartment of Mathematics, College of Duba, University of TabukMost qualitative behaviours of difference equations are rapidly investigated nowadays. This can be attributed to the fact that it is often sophisticated to construct the exact solutions of most difference equations. This article is written to analyse the local stability, global attractor and the boundedness of the solution of the seventh order difference equation given by where the coefficients are supposed to be positive real numbers and the initial conditions are arbitrary non-zero real numbers. Under some suitable conditions, the stability, boundedness and a special case equation from the considered equation are presented in 2 D figures.http://dx.doi.org/10.1080/25765299.2020.1726557attractivityboundednessequilibriumrecursive equationstability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. B. Almatrafi Marwa M. Alzubaidi |
| spellingShingle |
M. B. Almatrafi Marwa M. Alzubaidi Stability analysis for a rational difference equation Arab Journal of Basic and Applied Sciences attractivity boundedness equilibrium recursive equation stability |
| author_facet |
M. B. Almatrafi Marwa M. Alzubaidi |
| author_sort |
M. B. Almatrafi |
| title |
Stability analysis for a rational difference equation |
| title_short |
Stability analysis for a rational difference equation |
| title_full |
Stability analysis for a rational difference equation |
| title_fullStr |
Stability analysis for a rational difference equation |
| title_full_unstemmed |
Stability analysis for a rational difference equation |
| title_sort |
stability analysis for a rational difference equation |
| publisher |
Taylor & Francis Group |
| series |
Arab Journal of Basic and Applied Sciences |
| issn |
2576-5299 |
| publishDate |
2020-01-01 |
| description |
Most qualitative behaviours of difference equations are rapidly investigated nowadays. This can be attributed to the fact that it is often sophisticated to construct the exact solutions of most difference equations. This article is written to analyse the local stability, global attractor and the boundedness of the solution of the seventh order difference equation given by where the coefficients are supposed to be positive real numbers and the initial conditions are arbitrary non-zero real numbers. Under some suitable conditions, the stability, boundedness and a special case equation from the considered equation are presented in 2 D figures. |
| topic |
attractivity boundedness equilibrium recursive equation stability |
| url |
http://dx.doi.org/10.1080/25765299.2020.1726557 |
| work_keys_str_mv |
AT mbalmatrafi stabilityanalysisforarationaldifferenceequation AT marwamalzubaidi stabilityanalysisforarationaldifferenceequation |
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1724348332834291712 |