Fig. 3
Relationship between the agents’ average degree and radius of interaction. a Comparison between numerical results and analytical predictions from Eq. (8), for the case without base locations. Simulation results are generated with the following parameter set: L=0, D=100,000, σmin=5, and σmax=500. For each value of σi, Eq. (8) provides the expected degree, which is numerically estimated by tracking the corresponding agent in time. b Comparison between numerical results and analytical predictions from Eq. (9), in the case of multiple base locations, uniformly distributed in the plane. For each value of σi and Σβ(i), Eq. (9) provides the expected degree, which is numerically estimated by tracking the corresponding agent in time. Numerical results are presented using different colors and markers, corresponding to each of the locations (numerical findings share a common trend, which is well captured by the theory). In the simulations, we use the following parameters: L=10, D=109, Σmin=1,000, Σmax=10,000, σmin=10, σmax=100, p=0.3, and α=0. Agents are initially inside their base location and interactions are recorded after 100 steps to allow agents to reach a steady-state configuration. Other parameter values are N=10,000, v=500, c=4·10−4, ω=2.4, γ=2.1, and T=5,000