International Journal of Engineering and Manufacturing (IJEM)
IJEM Vol. 12, No. 1, 8 Feb. 2022
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Stability Analysis of Stage Structure Prey-Predator Model with a Partially Dependent Predator and Prey Refuge
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Author(s)
Shireen Jawad
1,*
Raid Kamel Naji
1
Index Terms
Stage-structure, prey-predator, prey refuge, reserved zone.
Abstract
We propose a stage structure predator-prey model with a partially dependent predator and prey conservation. It is taken that the environment has been divided into two disjoint regions, namely, unreserved and reserved areas, where a predator is not allowed to enter the latter. The first model describes four species: prey refuge (prey in the reserved zone), prey in the unreserved zone, mature and immature predators. The predator is partially dependent on the prey in the unprotected area. The existence of ecological equilibria and their local and global stability is investigated. By using the Lyapunov theorem, sufficient conditions on the global stability of the equilibriums are obtained. Some numerical simulations show the viability of our results. The results show that the reserved area has a stabilizing impact on the stage structure predator-prey model.
Cite This Paper
Shireen Jawad, Raid Kamel Naji, " Stability Analysis of Stage Structure Prey-Predator Model with a Partially Dependent Predator and Prey Refuge ", International Journal of Engineering and Manufacturing (IJEM), Vol.12, No.1, pp. 1-11, 2022. DOI: 10.5815/ijem.2022.01.01
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