半干旱环境下植被-沙模型的斑图动力学  

Pattern Dynamics of a Vegetation-Sand Model in Semi-Arid Environments

作　　者：曹佳会 李莉 CAO Jiahui;LI Li(Complex Systems Research Center,Shanxi University,Taiyuan 030000,China;School of Computer and Information Technology, Shanxi University, Taiyuan 030000, China)

机构地区：[1]山西大学复杂系统研究所,太原030000 [2]山西大学计算机与信息技术学院,太原030000

出　　处：《重庆理工大学学报（自然科学）》2021年第9期232-238,共7页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金项目(42075029);山西省高等学校优秀创新团队计划项目(OIT);山西省自然科学基金项目(201801D221003);中国博士后科学基金项目(2017M621110,2019T120199)。

摘　　要：植被斑图可以揭示植被在时空上的分布规律,对植被保护具有重要意义。研究了一类典型的半干旱多风沙环境下植被-沙动力学模型,分析了该模型产生稳态斑图的数学条件,揭示了对流会诱导植被斑图从不规则斑纹转变为规则的条状斑图,进而可能导致荒漠化的出现。本研究可为植被斑图的相变提供新的可能性机制。Vegetation pattern can reveal the spatial and temporal distribution of vegetation,therefore,it is of great significance to protect vegetation.In this paper,a typical vegetation-sand dynamic model under semi-arid and windy sand environment is studied,and the mathematical conditions for the steady-state patterns generated by the model are analyzed.It is revealed that convection induces the transformation of vegetation patterns from irregular patterns to regular stripes,which may leads to the emergence of desertification.This work provides a new possible mechanism for the phase transformation of vegetation patterns.

关 键 词：对流 斑图动力学 图灵不稳定性 植被-沙模型 

分 类 号：O29[理学—应用数学]