Dynamics of a general model of nonlinear difference equations and its applications to LPA model
In this study, we investigate the qualitative properties of solutions to a general model of difference equations (DEs), which includes the flour beetle model as a particular case. We investigate local and global stability and boundedness, as well as the periodic behavior of the solutions to this mod...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024281 |
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| author | Wedad Albalawi Fatemah Mofarreh Osama Moaaz |
| author_facet | Wedad Albalawi Fatemah Mofarreh Osama Moaaz |
| author_sort | Wedad Albalawi |
| collection | DOAJ |
| description | In this study, we investigate the qualitative properties of solutions to a general model of difference equations (DEs), which includes the flour beetle model as a particular case. We investigate local and global stability and boundedness, as well as the periodic behavior of the solutions to this model. Moreover, we present some general theorems that help study the periodicity of solutions to the DEs. The presented numerical examples support the finding and illustrate the behavior of the solutions for the studied model. A significant agricultural pest that is extremely resistant to insecticides is the flour beetle. Therefore, studying the qualitative characteristics of the solutions in this model greatly helps in understanding the behavior of this pest and how to resist it or benefit from it. By applying the general results to the flour beetle model, we clarify the conditions of global stability, boundedness, and periodicity. |
| format | Article |
| id | doaj-art-8a419a76064f4832b84ede52f3ccfb52 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-8a419a76064f4832b84ede52f3ccfb522025-01-23T07:53:00ZengAIMS PressElectronic Research Archive2688-15942024-11-0132116072608610.3934/era.2024281Dynamics of a general model of nonlinear difference equations and its applications to LPA modelWedad Albalawi0Fatemah Mofarreh1Osama Moaaz2Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaIn this study, we investigate the qualitative properties of solutions to a general model of difference equations (DEs), which includes the flour beetle model as a particular case. We investigate local and global stability and boundedness, as well as the periodic behavior of the solutions to this model. Moreover, we present some general theorems that help study the periodicity of solutions to the DEs. The presented numerical examples support the finding and illustrate the behavior of the solutions for the studied model. A significant agricultural pest that is extremely resistant to insecticides is the flour beetle. Therefore, studying the qualitative characteristics of the solutions in this model greatly helps in understanding the behavior of this pest and how to resist it or benefit from it. By applying the general results to the flour beetle model, we clarify the conditions of global stability, boundedness, and periodicity.https://www.aimspress.com/article/doi/10.3934/era.2024281difference equationsstability and periodicityglobal stabilityboundednessmathematical model |
| spellingShingle | Wedad Albalawi Fatemah Mofarreh Osama Moaaz Dynamics of a general model of nonlinear difference equations and its applications to LPA model Electronic Research Archive difference equations stability and periodicity global stability boundedness mathematical model |
| title | Dynamics of a general model of nonlinear difference equations and its applications to LPA model |
| title_full | Dynamics of a general model of nonlinear difference equations and its applications to LPA model |
| title_fullStr | Dynamics of a general model of nonlinear difference equations and its applications to LPA model |
| title_full_unstemmed | Dynamics of a general model of nonlinear difference equations and its applications to LPA model |
| title_short | Dynamics of a general model of nonlinear difference equations and its applications to LPA model |
| title_sort | dynamics of a general model of nonlinear difference equations and its applications to lpa model |
| topic | difference equations stability and periodicity global stability boundedness mathematical model |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024281 |
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