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| Neimark-Sacker Bifurcation of a Semi-Discrete Lasota-Wa\'zewska Model |
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| KeyWord:Semi-discrete Lasota-Wa\'zewska model, Neimark-Sacker bifurcation, invariant curve, numerical simulation |
| Author Name | Affiliation | | Long Zhou | School of Science, China University of Geosciences (Beijing), 100083, Beijing, China | | Yulong Li | School of Science, China University of Geosciences (Beijing), 100083, Beijing, China | | Fengjie Geng | School of Science, China University of Geosciences (Beijing), 100083, Beijing, China |
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| Abstract: |
| In this paper, we derive and analyze a semi-discrete Lasota-Wa\'zew-ska model. First, the existence, uniqueness, and local dynamical properties of the positive fixed point are systematically investigated. Subsequently, we explore the existence of Neimark-Sacker bifurcation and the stability of the bifurcated invariant curve. Finally, numerical simulations are provided to illustrate the theoretical findings. |
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