Connecting deterministic and stochastic metapopulation models

被引：5

作者：

Barbour, A. D. ^{[1
]}

McVinish, R. ^{[2
]}

Pollett, P. K. ^{[2
]}

机构：

[1] Univ Zurich, Zurich, Switzerland

[2] Univ Queensland, Brisbane, Qld, Australia

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2015年 / 71卷 / 6-7期

基金：

澳大利亚研究理事会;

关键词：

Stochastic patch occupancy model (SPOM); Vapnik-Chervonenkis theory; DYNAMICS;

D O I：

10.1007/s00285-015-0865-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we study the relationship between certain stochastic and deterministic versions of Hanski's incidence function model and the spatially realistic Levins model. We show that the stochastic version can be well approximated in a certain sense by the deterministic version when the number of habitat patches is large, provided that the presence or absence of individuals in a given patch is influenced by a large number of other patches. Explicit bounds on the deviation between the stochastic and deterministic models are given.

引用

页码：1481 / 1504

页数：24

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