Dynamical Behaviors of a Fractional-Order Three Dimensional Prey-Predator Model. (15th December 2021)

• Record Type: Journal Article
• Authors: Barhoom, Noor S. Sh.; Al-Nassir, Sadiq
• Other Names: Giné Jaume Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2021(2021)
• Publication Date: 2021-12-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2021/1366797
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : In this paper, the dynamical behavior of a three-dimensional fractional-order prey-predator model is investigated with Holling type III functional response and constant rate harvesting. It is assumed that the middle predator species consumes only the prey species, and the top predator species consumes only the middle predator species. We also prove the boundedness, the non-negativity, the uniqueness, and the existence of the solutions of the proposed model. Then, all possible equilibria are determined, and the dynamical behaviors of the proposed model around the equilibrium points are investigated. Finally, numerical simulations results are presented to confirm the theoretical results and to give a better understanding of the dynamics of our proposed model.