| Summary: | 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 94 === This paper deals with the Nicholson-Bailey model which arises from the Ricker model (x, y)→(xe^[r(1-x)-αy], x[1-e^(-αy)]). The purpose of this paper is the study on the existence of the Neimark-Sacker Hopf bifurcation which is believed that the corresponding dynamic system contains a chaotic orbit. Based on the bifurcation diagram versus parameter α which is in (3.2, 3.3), we realize that a Neimark-Sacker Hopf bifurcation takes place at α which is in (3.2, 3.3). We hence investigate a rigorous proof of the existence of the Neimark-Sacker Hopf bifurcation, which routes the Ricker model to a chaotic system.
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