Title of article :
Dynamics and Neimark-Sacker Bifurcation of a Modified Nicholson-Bailey Model
Author/Authors :
Akrami, Mohammad Hossein Yazd University, Yazd , Atabaigi, Ali Razi university, Tehran
Abstract :
In this paper, the dynamics of a modified Nicholson-Bailey
model as a discrete dynamical system has been studied. Local dynamics
in a neighborhood of boundary fixed points are investigated. It
is also proved that the model has a unique positive fixed point and a
Neimark-Sacker bifurcation emerges at this fixed point. Some numerical
simulations are presented to illustrate the analytical results.
Keywords :
Discrete dynamical systems , Neimark-Sacker bifurcation , Nicholson-Bailey model
Journal title :
Journal of Mathematical Extension(IJME)
