关于农药消解模型参数拟合优化算法的研究

Studies on Optimizing Algorithm for Fitting the Parameters of Pesticide Degradation Model

参数拟合是数学建模的重要方面．本文对农药消解模型参数拟合的算法进行优化，用麦夸方法最优拟合消解方程y=c0e～-kt，给出参数和半衰期的数值解．理论和实例计算均表明：用麦夸方法得到的消解模型的预测值与实测值拟合度优于其他方法．优化的麦夸算法简便实用，且具有普遍适用性．

Parameters fitting is an important aspect in mathematics modelling.Optimizing the algorithm of fitting the parameters of pesticide degradation model and using Marquardt's method to fit optimally the degradation model y=c_0e^(-kt),the numerical solution of the parameters and the half-lifes were obtained.Both theoretical and actual calculations showed that the fitness of experimental values and predicting values,which were resulted from the degradation model obtained by Marquardt's algorithm,was better than other methods.Optimal Marquardt's algorithm is simple and easy to use in fitting pesticide degradation model,and suitable in many other fields.