This paper introduces a conceptual dynamic model designed to analyze logistics ecosystems with limited resources. The research focuses on mathematical modeling of logistics facilities, such as container terminals. It examines strategies for optimizing resource distribution among system components to meet specified demands and explores the role of digitization and emerging technologies, including artificial intelligence, in enhancing the resilience and efficiency of supply chains. Emphasis is placed on the critical importance of data integration, improved collaboration between supply chain participants, and the adoption of digital solutions to increase transparency and operational efficiency within logistics systems.