Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response
In this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and discussed. In this model, the Crowley–Martin functional response describes the interaction between mature preys with a predator. The existence, uniqueness, non-negativity, a...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2022/6818454 |
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| author | Wala’a A. Mahdi Sadiq Al-Nassir |
| author_facet | Wala’a A. Mahdi Sadiq Al-Nassir |
| author_sort | Wala’a A. Mahdi |
| collection | DOAJ |
| description | In this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and discussed. In this model, the Crowley–Martin functional response describes the interaction between mature preys with a predator. The existence, uniqueness, non-negativity, and the boundedness of solutions are proved. All possible equilibrium points of this system are investigated. The sufficient conditions of local stability of equilibrium points for the considered system are determined. Finally, numerical simulation results are carried out to confirm the theoretical results. |
| format | Article |
| id | doaj-art-13b295191c5f427180e3bc402b6058ea |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-13b295191c5f427180e3bc402b6058ea2025-08-20T03:55:44ZengWileyInternational Journal of Differential Equations1687-96512022-01-01202210.1155/2022/6818454Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional ResponseWala’a A. Mahdi0Sadiq Al-Nassir1Department of MathematicsDepartment of MathematicsIn this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and discussed. In this model, the Crowley–Martin functional response describes the interaction between mature preys with a predator. The existence, uniqueness, non-negativity, and the boundedness of solutions are proved. All possible equilibrium points of this system are investigated. The sufficient conditions of local stability of equilibrium points for the considered system are determined. Finally, numerical simulation results are carried out to confirm the theoretical results.http://dx.doi.org/10.1155/2022/6818454 |
| spellingShingle | Wala’a A. Mahdi Sadiq Al-Nassir Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response International Journal of Differential Equations |
| title | Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response |
| title_full | Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response |
| title_fullStr | Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response |
| title_full_unstemmed | Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response |
| title_short | Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response |
| title_sort | dynamical behaviours of stage structured fractional order prey predator model with crowley martin functional response |
| url | http://dx.doi.org/10.1155/2022/6818454 |
| work_keys_str_mv | AT walaaamahdi dynamicalbehavioursofstagestructuredfractionalorderpreypredatormodelwithcrowleymartinfunctionalresponse AT sadiqalnassir dynamicalbehavioursofstagestructuredfractionalorderpreypredatormodelwithcrowleymartinfunctionalresponse |