| Lotka-Volterra模型参数的灰色估计法及其应用 |
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| 引用本文： | 陈海俊,娄喜娟,刘洁,吴利丰.Lotka-Volterra模型参数的灰色估计法及其应用[J].数学的实践与认识,2011,41(23). |
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| 作者姓名： | 陈海俊 娄喜娟 刘洁 吴利丰 |
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| 作者单位： | 1. 邯郸学院数学系,河北邯郸,056005
2. 南京航空航天大学经济与管理学院,江苏南京,210016 |
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| 摘 要： | 基于灰色直接建模法,提出了估计Lotka-Volterra模型参数的一种方法,较好的反映了相互影响的两个变量之间的互惠、竞争等关系,为定性预测分析提供了实证支持,并得到了定量预测的结果.实例说明本模型的有效性和适用性.并证明了数乘交换不影响原始序列的模拟精度,为解决灰色预测模型的病态性提供了思路.
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| 关 键 词： | 灰色系统 Lotka-Volterra模型 灰色直接建模法 竞争系统 互惠系统 |
Estimation the Parameters of Lotka-Volterra Model Based on The Grey Direct Modeling and its Application |
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| CHEN Hai-jun,LOU Xi-juan,LIU Jie,WU Li-feng.Estimation the Parameters of Lotka-Volterra Model Based on The Grey Direct Modeling and its Application[J].Mathematics in Practice and Theory,2011,41(23). |
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| Authors: | CHEN Hai-jun LOU Xi-juan LIU Jie WU Li-feng |
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| Institution: | CHEN Hai-jun~1,LOU Xi-juan~1,LIU Jie~1,WU Li-feng~2 (1.Department of Mathematics,Handan College,Handan 056005,China) (2.College of Economic and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | This paper proposes a method for estimation the parameters of Lotka-Volterra model based on the grey direct modeling,it can better reflect the relationship between two variables,and provide empirical support for qualitative prediction analysis and obtain quantitative results.This model is applied to analysis one practicable example,it has shown that this method is effective and applicable.This study indicates the multiple transformations can't change the precision of the simulation value,it presents a metho... |
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| Keywords: | Grey system Lotka-Volterra model grey direct modeling method competition system cooperative system |
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