Density-dependent reproduction ratio of the original Maynard Smith and Slatkin model (a), of the modified Maynard Smith and Slatkin model (b), and resulting pairwise invasibility plot (c).

Abstract

<p>The curves plotted in (a) and (b) result from equidistant <i>b</i>-values on the logarithmic scale. The curves for <i>b</i><sub>low</sub> = 0.8 (red) and <i>b</i><sub>up</sub> = 5 (green) from eq. 9 are highlighted by dashed curves. Note that, while curves are evenly distributed for the original model, the modification creates an asymmetry between the curves above and below <i>N</i>/<i>K</i> = 1 in the modified model. The pairwise invasibility plot shows that this results in lower fitness for the intermediate strategies, as well as in the loss of evolutionary stability of the evolutionarily singular strategy.</p

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