Publication: Local approximation of a metapopulation’s equilibrium
Local approximation of a metapopulation’s equilibrium
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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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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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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