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Periodic Oscillations in a Delay Population Model

Authors: Changjin Xu, Peiluan Li


In this paper, a nonlinear delay population model is investigated. Choosing the delay as a bifurcation parameter, we demonstrate that Hopf bifurcation will occur when the delay exceeds a critical value. Global existence of bifurcating periodic solutions is established. Numerical simulations supporting the theoretical findings are included.

Keywords: Stability, Hopf Bifurcation, delay, Population model, Global Hopf bifurcation

Digital Object Identifier (DOI):

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