Transitional dynamics of the supporting scenario.

Abstract

<p>We set three different combinations of parameter values: (1) <i>n<sub>d</sub></i> = 50, <i>p<sub>c_od</sub></i> = 0.1<sub>, </sub><i>p<sub>c_dd</sub></i> = 0; (2) <i>n<sub>d</sub></i> = 200, <i>p<sub>c_od</sub> = </i>0.2<sub>, </sub><i>p<sub>c_dd</sub></i> = 0; (3) <i>n<sub>d</sub></i> = 200, <i>p<sub>c_od</sub> = </i>0.2<sub>, </sub><i>p<sub>c_dd</sub></i> = 0.05; while other parameters are kept constant (<i>n</i><sub>o</sub> = <i>n<sub>d</sub></i> = 100, <i>p<sub>c_oo</sub></i> = 0.1, <i>a/b</i> = 100, <i>p<sub>m</sub></i> = 0.01). For each combination, 50 replications are run, and the mean and standard deviation of total productivity and number of occupations of the original society (<i>So</i>) and derived society (<i>Sd</i>) are shown. In combination 1, <i>So</i> is affordable of <i>Sd</i> that parasitize it thus result in the coexistence of <i>So</i> and <i>Sd</i>. In combination 2, <i>Sd</i> has a much larger size (<i>n<sub>d</sub></i>) and the parasitism efficiency is also improved (<i>p<sub>c_od</sub></i>), thus <i>So</i>’s number of occupation and productivity are greatly shrinked; in 4 of the 50 replications, <i>So</i> is completely eliminated. As a result, <i>Sd</i> also suffers a big drop of its productivity and number of occupations, or even goes extinct in the conditions that <i>So</i> is completely ruined. In combination 3, <i>Sd</i> is able to support itself, thus more competent in grabbing the productivity contributed by <i>So</i>; besides, it is able to survive after <i>So</i>’s collapse, thus result in the replacing of <i>So</i> by <i>Sd</i>. The productivity of <i>Sd</i> undergoes a short dropping before it rise again to steady value, that is because as <i>So</i> quickly collapses, its supporting to <i>Sd</i> is deprived.</p

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