A continuous density Kolmogorov type model for a migrating fish stock

被引：6

作者：

Magnússon, KG ^{[1
]}

Sigurdsson, ST ^{[1
]}

Babak, P ^{[1
]}

Gudmundsson, SF ^{[1
]}

Dereksdóttir, EH ^{[1
]}

机构：

[1] Univ Iceland, Inst Sci, IS-107 Reykjavik, Iceland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2004年 / 4卷 / 03期

关键词：

Kolmogorov equation; random walk; fish migration;

D O I：

10.3934/dcdsb.2004.4.695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A continuous probability density model for the spatial distribution and migration pattern for a pelagic fish stock is described. The model is derived as the continuum limit of a random walk in the plane which leads to an advection-diffusion equation. The direction of the velocity vector is given by the gradient of a "comfort function" which incorporates factors such as temperature, food density, distance to spawning grounds, etc., which are believed to affect the behaviour of the capelin. An application to Barents Sea capelin is presented.

引用

页码：695 / 704

页数：10

共 16 条

[1] A SPATIALLY EXPLICIT FITNESS BASED MODEL OF CAPELIN MIGRATIONS, THE BARENTS SEA [J].