Dynamical Behaviors in a Discrete Predator-prey Model with a Prey Refuge

Authors: Kejun Zhuang, Zhaohui Wen

Abstract:

By incorporating a prey refuge, this paper proposes new discrete Leslie–Gower predator–prey systems with and without Allee effect. The existence of fixed points are established and the stability of fixed points are discussed by analyzing the modulus of characteristic roots.

Keywords: Leslie-Gower, predator–prey model, prey refuge, allee effect.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070633

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