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Modeling Food and Population Dynamics in Honey Bee Colonies
When forager death rates are low, low food availability limits both the amount of food accumulated by the colony, and colony population size (Figure 2b). However as food availability increases, the amount of stored food and total hive population both increase (Figure 3b). Colony population eventually stabilizes at an equilibrium size determined by the forager death rate m, and is no longer affected by increasing food availability, whereas food stores continued to increase (Figure 3b).
http://www.plosone.org/article/info:doi/10.1371/journal.pone.0059084
 
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