Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system
| Format: | Restricted Document |
|---|
| _version_ | 1860796874726834176 |
|---|---|
| building | INTELEK Repository |
| collection | Online Access |
| collectionurl | https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 |
| date | 2021-04-05 20:35:45 |
| eventvenue | Virtual |
| format | Restricted Document |
| id | 10513 |
| institution | UniSZA |
| originalfilename | 4542-01-FH03-FIK-21-53266.pdf |
| person | Abiodun Ezekiel Owoyemi Ibrahim Mohammed Sulaiman Salisu Sadiya Muhammad Oluwatayo Olatunde Oni Olukayode Williams Okedokun |
| recordtype | oai_dc |
| resourceurl | https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10513 |
| spelling | 10513 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=10513 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Conference Conference Paper application/pdf 11 1.6 Adobe Acrobat Pro DC 20 Paper Capture Plug-in Abiodun Ezekiel Owoyemi Ibrahim Mohammed Sulaiman Salisu Sadiya Muhammad Oluwatayo Olatunde Oni Olukayode Williams Okedokun 2021-04-05 20:35:45 xmp.did:F54D85EB13A3EB1181A0A0BE996C4B62 AIP Conference Proceedings 2021.2355:040012 Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system 4542-01-FH03-FIK-21-53266.pdf Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system UniSZA Private Access Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system In this paper, we work on predator-prey Model of fractional order. The system of the model in [1] is extending in the sense of Caputo fractional derivatives. More specifically, the study discussed the fractional predator-prey model that rely on biotic resources existence. The idea of Caputo derivative was employed in defining the fractional ordinary differential equations. The fractional models’ stability analysis for the models equilibrium points were also presented. Adams-type predictor-corrector (ATPC) scheme is applied to compute an approximation to the solution of the model of fractional order. Furthermore, we investigated the Hopf bifurcation analysis. The result of the experiment show that, for certain values, the model undergo Hopf bifurcation, and further confirmed that the choice of an appropriate figure of the fractional α ∈ (0,1] increase the region of the stability for the equilibrium points. 6th International Conference on Application of Science and Mathematics Virtual |
| spellingShingle | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| subject | AIP Conference Proceedings 2021.2355:040012 |
| summary | In this paper, we work on predator-prey Model of fractional order. The system of the model in [1] is extending in the sense of Caputo fractional derivatives. More specifically, the study discussed the fractional predator-prey model that rely on biotic resources existence. The idea of Caputo derivative was employed in defining the fractional ordinary differential equations. The fractional models’ stability analysis for the models equilibrium points were also presented. Adams-type predictor-corrector (ATPC) scheme is applied to compute an approximation to the solution of the model of fractional order. Furthermore, we investigated the Hopf bifurcation analysis. The result of the experiment show that, for certain values, the model undergo Hopf bifurcation, and further confirmed that the choice of an appropriate figure of the fractional α ∈ (0,1] increase the region of the stability for the equilibrium points. |
| title | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| title_full | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| title_fullStr | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| title_full_unstemmed | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| title_short | Stability and Hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |
| title_sort | stability and hopf bifurcation analysis of a biotic resource enrichment on a prey predator population in fractional-order system |