干旱区绿洲植被退化模型的定性分析

Qualitative analysis of the oasis vegetation degradation model in arid area

考虑水资源对绿洲植被的影响,参考捕食模型,根据数学物理原理建立干旱区绿洲数学模型,并利用常微分方程稳定性理论对该模型进行定性分析,证明了模型在第一象限内无闭轨及平衡解的稳定性.该研究为保护干旱区绿洲植被、实现可持续发展战略提供了基础资料和理论依据.

In this paper ,we considerd the influence of the water resources on the desert diffusion , refered to predator-prey model ,and established a mathematical model of oases in arid areas ac-cording to the principle of mathematical physics .We analyzed the mathematical model using the dynamical systems theory in the ordinary differential equation ,and proved that there is no closed orbit and the stability of equilibrium solutions in the first quadrant model .This paper provides some basic information and data for protecting the vegetation in arid areas .