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Dynamics of Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response and Additive Allee Effect

Danang Indrajaya, Agus Suryanto, Abdul Rouf Alghofari

Abstract



In this paperwe discuss the dynamics of a modified Leslie-Gower predation model with Beddington-DeAngelis functional response and additive Allee effect on prey.Particularly we discuss the existence condition for each equilibrium point, localstability and global stability of the equilibria.It is shown that the model has none, one or two positive equilibria.The permanence of the system is examined.We address that in certain conditions, the model exhibitsa bistability phenomenon. Finally, we perform some numerical simulations toconfirmour analytical results.

Keywords


Additive Allee effect, Leslie Gower, predator-prey model, bistability.

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