Segregation of a population in an environment
Segregation of a population in an environment
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环境中人口的隔离
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
M. Nagasawa
中科院分区：
文献类型：
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作者：
M. Nagasawa
本文提出了一个种群空间格局和分离的数学模型。假设种群中的个体在给定的环境势V（x）的影响下随机移动。引入了布居的动力学激发K（x）和强度激发Q（x）的概念。然后通过宏观关系K（x）+ Q（x）+ V（x）=常数定义了布居的平衡态。求平衡分布的问题归结为特征值问题。它表明，人口隔离的本征函数的节面，如果它被激发。指出了该模型在生物学和生态学问题中的一些应用。
A mathematical model for spatial patterns and the segregation of a population is presented. Individuals in a population are assumed to move at random under the influence of a given environment potential V(x). The notion of kinetic excitation K(x) and intensity excitation Q(x) of a population is introduced. Then equilibrium states of a population are defined through a macroscopic relation K(x) + Q(x) + V(x) = constant. The problem of finding out equilibrium distributions is reduced to an eigenvalue problem. It is shown that a population is segregated by the nodal surfaces of the eigenfunctions, if it is excited. Some applications of the model to biological and ecological problems are indicated.