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生物种群Logistic扩展模型灰色增量生成参数辨识方法及应用
引用本文:孙全敏,王占礼,邵明安. 生物种群Logistic扩展模型灰色增量生成参数辨识方法及应用[J]. 系统工程理论与实践, 2000, 20(8): 105-113. DOI: 10.12011/1000-6788(2000)8-105
作者姓名:孙全敏  王占礼  邵明安
作者单位:(1)陕西省农业科学院;(2)中国科学院水土保持研究所
基金项目:中科院资源与生态环境研究重点项目!(KZ952-S1-234)
摘    要:
提出 Logistic扩展模型 LM(n,1 )的一般形式 ,将内禀增长率 r扩展为具有复合振动特征的时变参数项 ,相应参数的生物、生态学意义明确 .基于灰色 GM (n,1 )微分动态建模原理 ,按离散数据序列特点 ,探索出灰色高阶增量动态 GMS(n,1 )建模原理与方法 ,为 LM (n,1 )模型及若干生长曲线模拟提供了有效、规范的参数辨识方法 .GMS(n,1 )模型的信息包容量丰富 ,适用范围广 .实际模拟结果表明精度极高

关 键 词:生物种群  Logistic扩展模型  灰色GMS(n  1)模型   
修稿时间:1998-11-25

Distinguishable Methods and Applications of Grey Increment Parameter in Extension Model of Biological Population Logistic
SUN Quan-min,WANG Zhan-li,SHAO Ming-an. Distinguishable Methods and Applications of Grey Increment Parameter in Extension Model of Biological Population Logistic[J]. Systems Engineering —Theory & Practice, 2000, 20(8): 105-113. DOI: 10.12011/1000-6788(2000)8-105
Authors:SUN Quan-min  WANG Zhan-li  SHAO Ming-an
Affiliation:(1)Shaanxi Academy of Agricdtural Sciences;(2)Instiute of Soil and Water Conservation, Chinese Academy of Sciences
Abstract:
The general form of Logistic extension model LM (n,1) was put forword, the inner growth rate was extended into variable parameter with comprehensive vibration characteristics, it has clear parameter in biological and ecological field, based on the principle of model establishment in micro grey model and the character of dispersal date alignment. The principle and model of grey model system was worked out gradually, so that the effective and standard parameter method was provided for LM (n,1) model and some growth curve, simulatian.;GMS%(n,1) model is rich in information and can be used widely. The practical simulation result showed that it has high precision.
Keywords:biological population  logistic extension model  grey model  GMS (n  1)
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