The Impact of the Allee Effect in Dispersal and Patch-Occupancy Age on the Dynamics of Metapopulations
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- Martcheva, M. & Bolker, B.M. Bull. Math. Biol. (2007) 69: 135. doi:10.1007/s11538-006-9075-y
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In this paper, we introduce a Levins-type metapopulation model with empty and occupied patches, and dispersing population. We structure the proportion of occupied patches according to the patch-occupancy age. We observe that patch-occupancy age may destabilize the metapopulation, leading to persistent oscillations. We also allow for the dispersal rate to vary with the proportion of empty patches in a monotone or unimodal way. The unimodal dependence leads to multiple non-trivial equilibria and bistability when the reproduction number of the metapopulation R <1 but greater than a lower critical value R* . We show that the metapopulation will persist independently of its initial status if R > 1.