Research on the Application of Computer Algorithms in Modelling and Dynamic Simulation of Complex Systems

The aim of this study is to develop a computational model based on differential equations to investigate the effect of parameter ratio variations on the dynamic characteristics of the system. By constructing a system of differential equations with multiple initial conditions, the study analyses how the system output can be regulated by algorithmic optimisation under resource constraints. The results show that higher initial ratios can effectively improve the resource utilisation efficiency and thus enhance the system stability. In addition, based on the Mono model, the study also explores the relationship between system dynamics and parameter changes. The simulation results show that when the parameter ratios exceed a specific threshold, the key performance indicators in the system are significantly improved. This finding provides theoretical support for algorithm optimisation and contributes to a deeper understanding of the impact of resource availability on system performance. By utilising advanced computational methods, this study provides new perspectives for dynamic system analysis and optimisation, and promotes the application of computer algorithms in modelling and dynamic simulation of complex systems.