两种群食饵-捕食者模型参数估计的数值微分法

Parameter Estimation for Predator-prey Equation Models Using the Method of Numerical Differentiation

给出了一种基于数值微分的两种群食饵-捕食模型参数估计的两阶段方法。该方法将参数的非线性最小二乘估计,转化为一个数值微分和一个线性最小二乘估计问题,具有计算简单快速的特点。数值算例详细分析了三种常见有限差分数值微分法及非线性最小二乘估计对参数估计精度的影响,结果表明提出的方法是可行的。

This paper gives a two-stage method to estimate the parameters of predator-prey equations.This method transforms the non-linear least square（NLS） estimation into a finite-difference method of numerical differentiation and a linear least square estimation method,which has a simpler and faster computation than NLS.This paper also compares the efficiencies of three common finite difference methods and NLS for detailed analysis by numerical simulation.The result shows that our method is workable.