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An Exponential Polygonal Model of the Population Growth and the Estimation of Parameters

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
1
DOI:
10.3969/j.issn.1001-9626.1998.01.004
Key Word:
种群 转变点 指数分段曲线 非线性模型 正割法(DUD)

Abstract: 本文给出了种群增长的分段指数模型N(t)=N0exp(r0(t-t0)+(r1-r0)(t-t1)H(t-t1)),其中N(t)是在时刻t种群的密度,N0=N(t0),r0和r1是群群的内禀增长率,t0是转变点,H(t-t0)=1,t≥t0,H(t-t0)=0,t<t0.利用非线性模型的正割法(DUD,Doesn't use derivatives),可同时确定模型的所有参数(包括变点t0在内).并用于描述长爪沙鼠种群动态.

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