Figure 2
Agent dynamics impacts the epidemic spreading process. (a) The graph shows the dependency of the epidemic curves on \(\beta =1.20,1.50,1.75,1.80,1.85,1.87,1.90,1.92,1.95,1.97,1.99\) (increasing values of \(\beta\) from yellow to violet). As \(\beta\) decreases, the epidemic grows exponentially fast (dotted black curve) and approaches the evolution of SIR model in well-mixed population (dashed red curve). The dash-dot blue curve is a power law \(\sim t^2\). The parameters of the SIR reactions are \(\alpha =0.9\) and \(\gamma =0.025\). (b–g) Typical configurations taken at the same fraction of infected agents \(I/N \sim 0.25\) for increasing values of \(\beta =1.0,1.2,1.4,1.6,1.8,1.9\) (red are infected sites, green the susceptible ones, we keep white the sites populated by removed agents). (h) The probability distribution function of the local density of infected sites. (i) Radius of the cluster of infected agents (\(\beta =1.99\)) as a function of time. The red dashed line is a linear fit.
