| 摘要: |
| 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. |
| 关键词: 随机Lotka-Volterra竞争模型 回归模型 最小二乘法 点估计 置信区间 |
| DOI： |
| 分类号:O212.1 |
| 基金项目:国家自然科学基金资助（11661054；11461053）. |
|
| PARAMETER ESTIMATION FOR LOTKA-VOLTERRA COMPETITION MODEL WITH RANDOM PERTURBATIONS |
|
MA Yong-gang1,2, ZHANG Qi-min1, LIU Jun-mei2
|
|
1.School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China;2.School of Mathematics and Statistics, Yulin University, Yulin 719000, China
|
| Abstract: |
| 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. |
| Key words: Lotka-Volterra competition model regression model least squares method point estimators interval estimation |
