Fast migration and emergent population dynamics

Details Fast migration and emergent population dynamics Fast migration and emergent population dynamics

2012-04-17

arxiv.org/abs/1204.3703v1

Physics

Biological Physics

4 pages

Scientific paper

We consider population dynamics on a network of patches, each of which has a the same local dynamics, with different population scales (carrying capacities). It is reasonable to assume that if the patches are coupled by very fast migration the whole system will look like an individual patch with a large effective carrying capacity. This is called a "well-mixed" system. We show that, in general, it is not true that the well-mixed system has the same dynamics as each local patch. Different global dynamics can emerge from coupling, and usually must be figured out for each individual case. We give a general condition which must be satisfied for well-mixed systems to have the same dynamics as the constituent patches.

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