Abstract
A metapopulation model with explicit local dynamics is studied.Unlike many patch-based metapopulation models which assume thatthe local population within each patch is at its equilibrium,our model incorporates population changes in local patches that interact with metapopulation dynamics. The model keeps track of the fractions of patches that havespecies 1 only, species 2 only, or both species. For patcheswith both species, the Lotka-Volterra type of competition isassumed. It is shown that when the local dynamics is coupledwith the metapopulation dynamics the model outcomes can be verydifferent comparing with metapopulation models that do notexplicitly include local population dynamics. The analysis ofthe coupled system is carried out by using techniques in singularperturbation theory.
Highlights
In 1969, Levins considered the following single-species metapopulation model which assumes that changes in patch occupancy are functions solely of colonization rates of empty patches ( ) and extinction rates of occupied patches ( ): = (1 − ) −, (1)where denotes the proportion of the occupied patches
Unlike many patch-based metapopulation models which assume that the local population within each patch is at its equilibrium, our model incorporates population changes in local patches that interact with metapopulation dynamics
It is shown that when the local dynamics is coupled with the metapopulation dynamics the model outcomes can be very different comparing with metapopulation models that do not explicitly include local population dynamics
Summary
A metapopulation model with explicit local dynamics is studied. Unlike many patch-based metapopulation models which assume that the local population within each patch is at its equilibrium, our model incorporates population changes in local patches that interact with metapopulation dynamics. The model keeps track of the fractions of patches that have species 1 only, species 2 only, or both species.
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