Figure 1
Agent-based SIR model on a lattice. (a) Agents of different colors, representing the SIR states, move on a lattice. White cells represent empty sites. Green cells are occupied by susceptible (S) agents, blue cells contain only removed (R) agents. Red cells contain only infected (I) agents. Shaded cells contain agents in a mixture of states. Agents can move among cells performing jumps (black arrows) whose length follows Lévy statistics. The letters i and j, with \(i=1,..,N_b\) and \(j=1,...,N_b\) define the location of the cell (i, j). (b,c) Agents in the same cell undergo a SIR dynamics: (b) S become I at a rate \(\alpha\); (c) I become R at rate \(\gamma\). (d) The jump dynamics allows an agent to move from the cell (i, j) to \((i+k,j+l)\). The probability to perform a large/small jump is controlled by the parameter \(\beta \in [1.0,1.99]\). Large \(\beta\) values correspond to small jumps, i. e., a random walk that gives rise to Brownian motion. Small \(\beta\) values correspond to large jumps.
