Stability analysis of land use change dynamic system in highland area development

The disruption of ecological balance is the most significant challenge to sustainable development in highland areas. In particular, the downstream region is highly vulnerable to hydrometeorological disasters. Therefore, this study aimed to develop the dynamic system capable of simulating land use change to assess the environmental impacts of development activities. The system was constructed in the form of a first-order linear differential equation model based on a land class conversion compartment scheme. Additionally, the dynamic system had more than one equilibrium point, and its stability depended on the eigenvalue. The simulation results from the parameter change showed that ecological stability occurred when the conversion rate of dry land to forest was not equal to zero. This outcome suggested that reforestation was a key effort in managing sustainable highland areas. Mathematically, dynamic system modelling can be used as a new approach to study land use changes in regional development activities.