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An investigation into a vegetation-water multi-driver model based on saturation characteristics

• 1、College of Science,Liaoning Technical University, Fuxin 123000

Abstract：In order to gain a more profound understanding of the evolutionary patterns exhibited by arid-region ecosystems and to facilitate the prediction of future trends in vegetation-water dynamics, this study proposes the development of a more realistic vegetation-water model. This objective is realised through the comprehensive accounting for the interactive effects of multiple factors, including soil properties, vegetation physiological traits, and human activities. Subsequently, with time delay serving as the bifurcation parameter, the stability of equilibrium solutions is analysed, and the existence conditions for Hopf bifurcations are derived. On the one hand, the existence of Hopf bifurcations is verified based on transversality conditions; on the other hand, the direction of the bifurcation is determined through a canonical analysis of the Hopf bifurcation. This research provides valuable guidance and reference for the formulation of effective strategies for ecological conservation and water resource management in arid regions.

Keywords： vegetation-water model arid regions saturation characteristics Hopf bifurcation standardized classification