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。
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 1/2Nm<N <Nm when -1<k<0 and in 0<N<1/2Nm when k>The ndt/dN^N curveis convex when -1<k<0 and concave when k>The equation changes into the exponential form when k=-1,and into a Logistic equation when k=0.
出处
《北京林业大学学报》
CAS
CSCD
北大核心
1990年第2期108-120,共13页
Journal of Beijing Forestry University
关键词
崔-Lawson氏
种群增长模型
探讨
population growth model,Logistic equation,Cui-Lawson's Model,S-shaped curve equation
