小麦茎秆抗倒性的数学模型研究  

Study on Mathematical Model of Wheat Stalk'S Lodging Resistance

作　　者：叶三星[1] 徐敏[2] 黄芳芳[3] 罗文强[3] 

机构地区：[1]中国地质大学(武汉)信息工程学院,湖北武汉430074 [2]中国地质大学(武汉)环境学院,湖北武汉430074 [3]中国地质大学(武汉)数理学院,湖北武汉430074

出　　处：《数学的实践与认识》2012年第15期76-86,共11页Mathematics in Practice and Theory

摘　　要：利用多元统计分析和微分方程建立了小麦发育后期茎秆抗倒伏的数学模型.首先,对实验所得的数据进行了预处理,建立了倒伏指数的相关模型,并在给定穗重的条件下,模拟出理想的株型结构;然后,对小麦茎秆进行受力分析,建立小麦倒伏临界力的微分方程,算出腊熟期各品种小麦的抗倒伏风速;最后,对所建模型以及相关问题和结果进行总结分析,并结合实际提出小麦育种的一些建议.In this paper, we use multivariate analysis and differential equation to build a mathematical model about the stem lodging of the late wheat. We do with the experimental data and build lodging index modes firstly, and simulate the ideal structure of the wheat with a given spike weight. Then we do the mechanical analysis of the wheat stem, establishing the differential equation about the critical force of wheat lodging, and calculate the lodging wind speed of each kind of wheat at the mature period. At last, summarize and analyze the built modes and the problems in them, and give some suggestions to breed the wheat in practice.

关 键 词：多元统计分析 微分方程 倒伏指数 

分 类 号：O242.1[理学—计算数学]