Research on System Hierarchy Interaction Mechanisms and Self-Regulation Potential Based on Logistic Growth Model and Lotka-Volterra Model

Abstract

This paper constructs a multi-model system centred on the Logistic growth model and the Lotka-Volterra model to systematically analyse the evolutionary mechanisms and sustainable regulatory pathways. Firstly, based on a hierarchical interaction model, the study combines the Logistic growth model and the Lotka-Volterra model to analyse the impact of external intervention factors on each hierarchical level, revealing their mechanisms of action through disrupting energy transfer between hierarchical levels and breaking the system's steady state. Subsequently, the study explores different hierarchical introduction scenarios, through model adjustments and simulation validation, their regulatory effects on target variables and system equilibrium are examined. Finally, a non-intervention stabilisation model is constructed, and an optimised Lotka-Volterra model is used to demonstrate that the system can achieve equilibrium through self-regulation, emphasising the importance of enhancing system resilience. This provides a theoretical basis for reducing reliance on external interventions and rebuilding sustainable systems through functional introductions and cyclical patterns.