Number of source patches required for population persistence in a source-sink metapopulation with explicit movement

dc.contributor.authorArino, J.
dc.contributor.authorBajeux, N.
dc.contributor.authorKirkland, S.
dc.date.accessioned2019-05-06T21:57:32Z
dc.date.available2019-05-06T21:57:32Z
dc.date.issued2019
dc.date.submitted2019-05-06T01:30:59Zen
dc.description.abstractWe 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.en_US
dc.identifier.doihttps://doi.org/10.1007/s11538-019-00593-1
dc.identifier.urihttp://hdl.handle.net/1993/33888
dc.language.isoengen_US
dc.publisherBulletin of Mathematical Biology 81, pp. 1916–1942.en_US
dc.rightsopen accessen_US
dc.subjectMetapopulationsen_US
dc.subjectSource-sink dynamicsen_US
dc.subjectPopulation persistenceen_US
dc.subjectApplied linear algebraen_US
dc.titleNumber of source patches required for population persistence in a source-sink metapopulation with explicit movementen_US
dc.typeArticleen_US
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