Dynamics and Neimark-Sacker Bifurcation of a Modified Nicholson-Bailey Model

Mohammad Hossein Akrami, Ali Atabaigi

Abstract


In this paper, the dynamics of a modied Nicholson-Baileymodel as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary xed points are investigated. Itis also proved that the model has a unique positive xed point and a Neimark-Sacker bifurcation emerges at this xed point. Some numericalsimulations are presented to illustrate the analytical results.

Keywords


Discrete dynamical systems, Neimark-Sacker bifurcation, Nicholson-Bailey model

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