TY - JOUR T1 - Neimark-Sacker Bifurcation of a Semi-Discrete Lasota-Waźewska Model AU - Zhou , Long AU - Li , Yulong AU - Geng , Fengjie JO - Journal of Nonlinear Modeling and Analysis VL - 5 SP - 1746 EP - 1756 PY - 2025 DA - 2025/09 SN - 7 DO - http://doi.org/10.12150/jnma.2025.1746 UR - https://global-sci.org/intro/article_detail/jnma/24387.html KW - Semi-discrete Lasota-Waźewska model, Neimark-Sacker bifurcation, invariant curve, numerical simulation. AB -
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.