Neimark-Sacker Bifurcation of a Semi-Discrete Lasota-Waźewska Model

Authors

DOI:

https://doi.org/10.12150/jnma.2025.1746

Abstract

In this paper, we derive and analyze a semi-discrete Lasota-Waźewska 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.

Author Biographies

  • 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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Published

2025-09-15

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Issue

Vol. 7 No. 5 (2025)

Section

Articles

How to Cite

Neimark-Sacker Bifurcation of a Semi-Discrete Lasota-Waźewska Model. (2025). Journal of Nonlinear Modeling and Analysis, 7(5), 1746-1756. https://doi.org/10.12150/jnma.2025.1746