Figure 9.

Results from implementing the metapopulation model, equations (3.1)–(3.4). The total number of cases (given by I + R + D) is plotted as a function of time, on a log-log scale (a) and a log scale (b). The black line shows the dynamics where the simulation starts with 1/10 of individuals infected in a single patch in the middle. The blue line corresponds to the initial condition where 1/50 of the individuals are infected in five randomly chosen patches. The red line shows the consequence of 1/500 of the individuals infected in 50 randomly chosen patches. The rest of the parameters are S = 10, R = 0, D = 0 initially in all patches, β = 0.1, g = 0.05, f = 0.001, a = 0.01, ε = 1, N = 300.