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• W1931919550 abstract "In this paper, a semi-discrete model is derived for a nonlinear simple population model, and its stability and bifurcation are investigated by invoking a key lemma we present. Our results display that a NeimarkSacker bifurcation occurs in the positive fixed point of this system under certain parametric conditions. By using the Center Manifold Theorem and bifurcation theory, the stability of invariant closed orbits bifurcated is also obtained. The numerical simulation results not only show the correctness of our theoretical analysis, but also exhibit new and interesting dynamics of this system, which do not exist in its corresponding continuous version." @default.
• W1931919550 created "2016-06-24" @default.
• W1931919550 creator A5024196428 @default.
• W1931919550 creator A5086943373 @default.
• W1931919550 date "2014-01-01" @default.
• W1931919550 modified "2023-09-24" @default.
• W1931919550 title "STABILITY AND NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE POPULATION MODEL" @default.
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• W1931919550 doi "https://doi.org/10.11948/2014024" @default.
• W1931919550 hasPublicationYear "2014" @default.
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