Hopf Bifurcation and Stability Analysis for a Predator-Prey Model with Delays

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Abstract:

In this paper, a predatorprey model with discrete and distributed delays is investigated. The necessary and sufficient of the stable equilibrium point for this model is studied. Further, analyzed the associated characteristic equation. And, it is found that Hopf bifurcation occurs when τ crosses some critical value. Last, an example showed the feasibility of results.

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Advanced Materials Research (Volumes 850-851)

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901-904

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December 2013

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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