Threshold Dynamics of a Reaction-Diffusion Vegetation-Water Systems with Time Delay in Arid Area and Semi-arid Regions
Considering the effects of infiltration and diffusion of surface water on the ecosystems in arid and semi-arid areas,a reaction-diffusion vegetation-water system with time-varying delay is estab-lished in this paper.A threshold value R*is defined,and the dynamic behaviors of the system related to the threshold value are discussed.When R*＞1,the vegetation-free equilibrium point of the system is locally asymptotically stable.When R*＜1,the vegetation is uniformly persistent.In addition,the sensitivity analysis of the threshold is carried out by Latin Hypercube Sampling(LHS)and partial rank correlation coefficients(PRCCs)methods,the influence of parameters on the dynamic behaviors of the system is discussed,and some suggestions for measures to prevent desertification are given.In addition,the influence of time delay on the dynamic behaviors of the vegetation-water system are discussed,by analyzing the finite-time stability of the system.
万方数据
维普
