Publication:

Local approximation of a metapopulation’s equilibrium

Date

Date

Date
2018
Journal Article
Published version

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Citation copied

Barbour, A. D., McVinish, R., & Pollett, P. K. (2018). Local approximation of a metapopulation’s equilibrium. Journal of Mathematical Biology, 77(3), 765–793. https://doi.org/10.1007/s00285-018-1231-0

Abstract

Abstract

Abstract

We consider the approximation of the equilibrium of a metapopulation model, in which a finite number of patches are randomly distributed over a bounded subset Ω of Euclidean space. The approximation is good when a large number of patches contribute to the colonization pressure on any given unoccupied patch, and when the quality of the patches varies little over the length scale determined by the colonization radius. If this is the case, the equilibrium probability of a patch at z being occupied is shown to be close to q1(z), the equil

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51 since deposited on 2018-11-15
Acq. date: 2025-11-12

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94 since deposited on 2018-11-15
Acq. date: 2025-11-12

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Additional indexing

Creators (Authors)

  • Barbour, A D
    affiliation.icon.alt
  • McVinish, R
    affiliation.icon.alt
  • Pollett, P K
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
77

Number

Number

Number
3

Page range/Item number

Page range/Item number

Page range/Item number
765

Page end

Page end

Page end
793

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Agricultural and Biological Sciences (miscellaneous), Modelling and Simulation, Applied Mathematics

Language

Language

Language
English

Publication date

Publication date

Publication date
2018-09-01

Date available

Date available

Date available
2018-11-15

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0303-6812

Additional Information

Additional Information

Additional Information
This is a post-peer-review, pre-copyedit version of an article published in Journal of Mathematical Biology. The final authenticated version is available online at: https://doi.org/10.1007/s00285-018-1231-0

OA Status

OA Status

OA Status
Green

Metrics

Downloads

51 since deposited on 2018-11-15
Acq. date: 2025-11-12

Views

94 since deposited on 2018-11-15
Acq. date: 2025-11-12

Citations

Citations

Citation copied

Barbour, A. D., McVinish, R., & Pollett, P. K. (2018). Local approximation of a metapopulation’s equilibrium. Journal of Mathematical Biology, 77(3), 765–793. https://doi.org/10.1007/s00285-018-1231-0

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