Stability Analysis of Stage Structure Prey-Predator Model with a Partially Dependent Predator and Prey Refuge
Автор: Shireen Jawad, Raid Kamel Naji
Журнал: International Journal of Engineering and Manufacturing @ijem
Статья в выпуске: 1 vol.12, 2022 года.
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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.
Stage-structure, prey-predator, prey refuge, reserved zone
Короткий адрес: https://sciup.org/15018287
IDR: 15018287 | DOI: 10.5815/ijem.2022.01.01
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