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. 2014 Feb 28;9(2):e88773. doi: 10.1371/journal.pone.0088773

Figure 4. All qualitative outcomes of the optimal foraging strategy (8) and (10) with parameters Inline graphic.

Figure 4

In these plots, the energetic value Inline graphic of resource B varies in the interval from Inline graphic to Inline graphic (i.e. Inline graphic). The critical values of Inline graphic are Inline graphic; Inline graphic; Inline graphic; Inline graphic. The arrows in each panel indicate the direction of increasing energy intake per unit time at points in the unit square. In each case shown, these arrows lead to a single vertex indicated by the filled in circle which corresponds to the optimal foraging behavior (and unique NE). (a) For Inline graphic, Inline graphic and Inline graphic. Thus Inline graphic and Inline graphic. (b) For Inline graphic, Inline graphic and Inline graphic. Thus Inline graphic and Inline graphic. The dashed line denotes Inline graphic As Inline graphic increases, Inline graphic moves to the right until it coincides with the vertical line Inline graphic when Inline graphic. At this critical value of Inline graphic (not shown), all points Inline graphic on this vertical line are optimal foraging strategies (and NE). (c) For Inline graphic, Inline graphic and Inline graphic. Thus Inline graphic and Inline graphic. (d) For Inline graphic, Inline graphic and Inline graphic Thus Inline graphic and Inline graphic. The dashed line denotes Inline graphic (e) For Inline graphic, Inline graphic and Inline graphic. Thus Inline graphic and Inline graphic.