Dynamical Behaviours of Stage-Structured Fractional-Order Prey-Predator Model with Crowley–Martin Functional Response. (28th September 2022)

• Record Type: Journal Article
• Authors: Mahdi, Wala'a A.; Al-Nassir, Sadiq
• Other Names: Ezzinbi Khalil Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2022(2022)
• Publication Date: 2022-09-28
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2022/6818454
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : 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.