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- Title
Number of Source Patches Required for Population Persistence in a Source–Sink Metapopulation with Explicit Movement.
- Authors
Arino, Julien; Bajeux, Nicolas; Kirkland, Steve
- Abstract
We consider a simple metapopulation model with explicit movement of individuals between patches, in which each patch is either a source or a sink. We prove that similarly to the case of patch occupancy metapopulations with implicit movement, there exists a threshold number of source patches such that the population potentially becomes extinct below the threshold and established above the threshold. In the case where the matrix describing the movement of populations between spatial locations is irreducible, the result is global; further, assuming a complete mobility graph with equal movement rates, we use the principle of equitable partitions to obtain an explicit expression for the threshold. Brief numerical considerations follow.
- Subjects
METAPOPULATION (Ecology); COMPLETE graphs; PERSISTENCE; POPULATION; LINEAR algebra
- Publication
Bulletin of Mathematical Biology, 2019, Vol 81, Issue 6, p1916
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-019-00593-1