NEIMARK-SACKER BIFURCATION ON AN ECOLOGICAL MODEL
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Abstract
In this paper a two dimensional ecological model is taken whose Neimark-Sacker bifurcation behavior has been analyzed. Existence of Neimark-Sacker bifurcation is confirmed for infinite values of the control parameters and a suitable procedure has been adopted to obtain the control parameter for which Neimark-Sacker bifurcation occurs. Further the normal form of the model has been obtained to analyze the direction of the Neimark-Sacker bifurcation.
Key Words: Neimark-Sacker bifurcation/ fixed points/Periodic orbits/Normal form/Super Critical/Sub Critical.
2010 AMS Classification:Â Â 37 G 15, 37 G 35, 37 C 45
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