This paper deals with three-dimensional (3D) model of competitive Lotka-Volterra equation to investigate nonlinear dynamics and control strategy of container terminal throughput and capacity. Dynamical behaviors are intensely explored by using eigenvalue evaluation, bifurcation analysis, and time-series data. The dynamical analysis is to show the stability with bifurcation of the competition and collaboration of multiple container terminals in the maritime transportation. Based on the chaotic analysis, the sliding mode control theory has been utilized for optimization of port operations under disruptions. Extensive numerical simulations have been conducted to validate the efficacy and reliability of the presented control algorithms. Particularly, the closed-loop system has been assessed through chaotic suppression and synchronization strategies for port management. Finally, the presented fundamental techniques can be utilized to provide managerial insights and solutions on efficient seaport operations that allow more timely and cost-effective decision making for port authorities in such a highly competitive environment.

本文研究了竞争性Lotka-Volterra方程的三维（3D）模型，以研究非线性动态以及集装箱码头吞吐量和容量的控制策略。通过使用特征值评估，分叉分析和时间序列数据来深入研究动力学行为。动力学分析是为了证明海上运输中多个集装箱码头的竞争与协作分叉的稳定性。基于混沌分析，滑模控制理论已被用于优化中断条件下的港口运营。已经进行了广泛的数值模拟，以验证所提出的控制算法的有效性和可靠性。特别，已经通过混沌抑制和端口管理同步策略对闭环系统进行了评估。最后，所介绍的基本技术可用于提供有关有效海港运营的管理见解和解决方案，从而在如此高度竞争的环境中为港口当局提供更及时，更具成本效益的决策。