Literature DB >> 24275018

A model for a spatially structured metapopulation accounting for within patch dynamics.

Andrew G Smith1, Ross McVinish2, Philip K Pollett2.   

Abstract

We develop a stochastic metapopulation model that accounts for spatial structure as well as within patch dynamics. Using a deterministic approximation derived from a functional law of large numbers, we develop conditions for extinction and persistence of the metapopulation in terms of the birth, death and migration parameters. Interestingly, we observe the Allee effect in a metapopulation comprising two patches of greatly different sizes, despite there being decreasing patch specific per-capita birth rates. We show that the Allee effect is due to the way the migration rates depend on the population density of the patches.
Copyright © 2013 Elsevier Inc. All rights reserved.

Entities:  

Keywords:  Extinction; Markov process; Metapopulation; Partially ordered flow; Spatially structured

Mesh:

Year:  2013        PMID: 24275018     DOI: 10.1016/j.mbs.2013.11.001

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  1 in total

1.  Synchronized Tick Population Oscillations Driven by Host Mobility and Spatially Heterogeneous Developmental Delays Combined.

Authors:  Xue Zhang; Jianhong Wu
Journal:  Bull Math Biol       Date:  2021-04-18       Impact factor: 1.758

  1 in total

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