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

Authors

  • Mohammad Hossein Akrami Department of Mathematics, Yazd University, Yazd, Iran
  • Ali Atabaigi Department of Mathematics, Razi university Kermanshah, Iran

DOI:

https://doi.org/10.30495/jme.v0i0.1695

Keywords:

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

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.

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Published

2021-10-30

Issue

Vol. 16

Section

Vol. 16, No. 8, (2022)

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