植被根吸水对植被斑图的影响研究  

Study on the Effect of Plant Root Water Absorption onVegetation Pattern

作　　者：阿卜杜许库尔·热合曼 阿布都热西提·阿布都外力[1] Abuduxukuer Reheman;Abudurexiti Abuduwaili(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046􀡿

出　　处：《新疆大学学报（自然科学版）（中英文）》2021年第5期556-562,共7页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金项目(10971024).

摘　　要：土地沙漠化是目前世界面临的重大问题.因此,研究植被斑图对防治土壤沙漠化具有一定的实际意义.文章基于已有的植被斑图模型,建立了具有交叉扩散项的新模型,分析了该模型对应的常微分方程和偏微分方程非负常数平衡点的稳定性.通过数值模拟验证了该模型的有效性.Land desertification is a major problem facing the world.Therefore,studying vegetation patterns has certain practical significance for preventing and controlling soil desertification.In this paper,based on the existing vegetation pattern model,a new model with cross diffusion term is established,and the stability of non negative constant equilibrium point of ordinary differential equation and partial differential equation corresponding to the model is analyzed.Numerical simulations verified that the model has a certain significance in preventing soil water loss.

关 键 词：植被斑图 交叉扩散 稳定性 数值模拟 

分 类 号：O242.21[理学—计算数学]