作物发育速度与温度关系的数学模式研究
投稿时间: 1986-08-09  最后修改时间: 1987-04-30  点此下载全文
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作者单位
詹习武  
中文摘要:本文从不同角度分析作物发育速度与温度的关系,提出关于温度影响作物发育的假设,井以此为基础建立发育速度函数所满足的含小参数的微分方程,应用渐近匹配展开法求其近似解,导出了一个新的作物发育速度与温度关系的数学模式。利用这个模式计算有效积温变量,其效果比其它模式好。
 
STUDY ON A MATHEMATICAL MODEL SHOWING THE RELATIONSHIP BETWEEN TEMPERATURE AND THE DEVELOPMENT OF CROPS
Abstract:Based on the analysis of the effect of temperature on the development of crops, a hypothesis of the mechanism of the effect is advanced. Two quadratic non-linear differential equations are thus constructed. By working out an approximate solution to the differential equations,a new mathematical model showing the relationship between temperature and the development of crops is established. With the new model, a function of temperature, called the effective accumulated temperature variable, is defined. The model is proved to have better results than the old ones in practice.
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