The Influence of Stage Structure and Prey Refuge on the Stability of the Predator-Prey Model

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Shireen Jawad 1,* Raid Kamel Naji 1

1. Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

* Corresponding author.


Received: 19 Mar. 2022 / Revised: 15 Apr. 2022 / Accepted: 7 May 2022 / Published: 8 Jun. 2022

Index Terms

Predator-prey model, Stage structure, Reserved area, Prey refuge


This paper aims to study the prey refuge impact on the dynamic behaviour of a stage structure predator-prey model. The model consists of four ecological species: prey in the protected and unprotected area and immature and mature predators. It assumes the grown predator can feeds only on the prey in an unreserved area. The conditions that guarantee the existence of the possible fixed points are found. Further, the local stability around all of the equilibria is considered. Then, using the Lyapunov direct method, the essential conditions for the global stability of the equilibria are adopted. Numerical simulations are illustrated to confirm our results. It concluded that the protected area positively affects the system's co-existence.

Cite This Paper

Shireen Jawad, Raid Kamel Naji, " The Influence of Stage Structure and Prey Refuge on the Stability of the Predator-Prey Model ", International Journal of Engineering and Manufacturing (IJEM), Vol.12, No.3, pp. 51-59, 2022. DOI: 10.5815/ijem.2022.03.05


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