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Article Dans Une Revue Bulletin of Mathematical Biology Année : 2019

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

Résumé

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.

Dates et versions

hal-02618005 , version 1 (25-05-2020)

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Citer

Julien Arino, Nicolas Bajeux, Steve Kirkland. Number of source patches required for population persistence in a source-sink metapopulation with explicit movement. Bulletin of Mathematical Biology, 2019, 81 (6), pp.1916-1942. ⟨10.1007/s11538-019-00593-1⟩. ⟨hal-02618005⟩
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