Figure 5: Accuracy of the critical empathy c2 threshold for . | Scientific Reports

Figure 5: Accuracy of the critical empathy c2 threshold for .

From: Disease dynamics in a stochastic network game: a little empathy goes a long way in averting outbreaks

Figure 5

We consider n = 100 individuals and set the constants as δ = 0.2, c0 = 1 and c1 = 0.24. We let for top, middle, and bottom figures, respectively. The dotted dashed lines are the bound value in (5) with respect to the c2 value on the x-axis. The critical values of c2 in (6) that make are 0.11, 0.22 and 0.33 respectively for . These points are marked in blue. We simulate values identical to the way we simulate R0 values in Fig. 4 except that we select the initial sick individual according to distribution Q(k). We observe the simulated values are less than one for all c2 values above the critical value in (6). In comparison the critical c2 values for R0 in (3)–see Fig. 4–do not accurately predict the values of c2 above which .

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