%0 Journal Article %T 具有随机扰动的Lotka-Volterra竞争模型的参数估计<br>PARAMETER ESTIMATION FOR LOTKA-VOLTERRA COMPETITION MODEL WITH RANDOM PERTURBATIONS %A 作者 %A 马永刚 %A 张启敏 %A 刘俊梅 %J 数学杂志 %D 2018 %X 本文研究了两种群随机Lotka-Volterra竞争模型的参数估计的问题.利用最小二乘法,获得了点估计及(1-α)置信区间估计,同时得到了影响置信区间长度的因素.最后给出数值模拟,结果表明该方法的可行性与有效性.<br>In this paper, the problem of parameter estimation for two species stochastic Lotka-Volterra competition model is studied. By using the method of least squares, we obtain the point estimate and the (1 -α) confidence interval, and we get the factors which influence the confidence interval length. Finally, the numerical simulation results show that the method is feasible and effective %K 随机Lotka-Volterra竞争模型 回归模型 最小二乘法 点估计 置信区间< %K br> %K Lotka-Volterra competition model regression model least squares method point estimators interval estimation %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180217&flag=1