复杂生态系统达到稳定平衡时的物种数量测定模型

复杂生态系统达到稳定平衡时的物种数量测定模型

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Initial contribute: 2018-12-04

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Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
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Application-focused categoriesNatural-perspectiveLand regions

Model Description

Chinese {{currentDetailLanguage}} Chinese

复杂生态系统达到稳定平衡时的物种数量测定模型

(1)含有n物种的生态模型系统:

式中,t是时间; 是第i物种的种群密度; 是内部增长率; 是表示第j物种对第i物种的影响的相互作用系数;矩阵被称为相互作用矩阵。

(2) 如果仅仅存在k物种,k<n,则有:

式中,ρ以明显的方式从初始集合中选出。

(3)相互作用矩阵为:

(4) Manton (1979)已经证明当存在k物种时均衡时的数量为:

(5)当存在k物种时, 局部稳定平衡时的预期数量为:

式中,(2)式整体平衡时达到局部稳定的概率。

参考文献

Kindlmann P, Rejmánek M:复杂模型生态系统达到稳定平衡时的物种数量。EcologicalModelLing, 1982, 16

How to Cite

《资源环境数学模型手册》 (2018). 复杂生态系统达到稳定平衡时的物种数量测定模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/cff80cde-bcb0-4275-a5ee-2ea1e294a4e7
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History

Last modifier : 
XiaoYu He
Last modify time : 
2020-12-28
Modify times : 
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Contributor

Initial contribute: 2018-12-04

Co-contributor(s)

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
View
Is authorship not correct? Feedback

History

Last modifier : 
XiaoYu He
Last modify time : 
2020-12-28
Modify times : 
View History

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