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Analysis of Prey-Predator System with Dependent Density and Allee Effect for Prey

Hui-jie Yan, Yan-bo Zhang


A prey-predator system with dependent density of predator and prey and Allee effects of prey has been studied. The results show that each Allee effect may be a stabilizing or destabilizing force throughout the study of existence and stability analysis of equilibrium and numerical simulation. The stabilizing force of double Allee effects which occur simultaneously in the same population is also discussed.


Predator-prey system; asymptotic stability; Allee effect; numercial simulation.

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