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. 2011 Apr 18;6(4):e18491. doi: 10.1371/journal.pone.0018491

Figure 3. Phase plane diagrams of solutions to the model for different values of m.

Figure 3

Each line on the diagrams represents a solution trajectory, giving the number of foragers F and the number of hive bees H. As time t increases the solutions change along the trajectory in the direction of the arrows. In (a) m = 0.24 and the populations tend to a stable equilibrium population, marked by a dot. In (b), m = 0.40 there is no nonzero equilibrium and the hive populations collapses to zero. Parameter values are L = 2000, Inline graphic = 0.25, Inline graphic = 0.75 and w = 27 000.