| 对崔-Lawson氏种群增长模型的探讨(Ⅲ) |
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| 引用本文： | 马钦彦. 对崔-Lawson氏种群增长模型的探讨(Ⅲ)[J]. 北京林业大学学报, 1990, 0(2) |
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| 作者姓名： | 马钦彦 |
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| 作者单位： | 北京林业大学林业资源学院 |
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| 摘 要： | 简要述评了关于崔-Lawson模型讨论中的各种观点。作者认为崔-Lawson模型的推导过程中隐含有严重错误,不能将Michaelis-Menten方程视为崔-Lawson模型的理论基础。本文依据Smith模型提出了一个适合于描述S形增长过程的、具有可变拐点位置的方程(dN)/(dt)=a_m((N_m-N)/(N_m+kN))N。
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| 关 键 词： | 种群增长模型 崔-Lawson模型 Logistic方程 S形曲线方程 |
A Discussion on Cui-Lawson's Model of Single Population(Ⅲ) |
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| Ma Qinyan. A Discussion on Cui-Lawson's Model of Single Population(Ⅲ)[J]. Journal of Beijing Forestry University, 1990, 0(2) |
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| Authors: | Ma Qinyan |
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| Affiliation: | Forest Resources College |
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| Abstract: | The author suggests that Cui Qiwu and G.J.Lawson mistakenly applied the Michaelis-Menten equation to the autocatalytic reaction whenthey derived Cui-Lawson's Modelfrom theMichaelis-Menten equationBased on Smith's Model,theauthor provides an equation as follows.∞] where,am=the intrinsic rate of increase,N=the population density,Nm=the Maximun population density possible (i.e.the maximum carrying capacity),and k=the efficiency parameter of conditioned population density.This equation can be used to represent an S-shaped growth curve and can give the curve (Nt~t curve) a changeable inflection point when theparameter k is changed.The peak value of dt/dN~N curve lies in 1/2NmThe ndt/dN~N curveis convex when -1The equation changes into the exponential form when k=-1,and into a Logistic equation when k=0. |
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| Keywords: | population growth model Logistic equation Cui-Lawson's Model S-shaped curve equation |
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