Epidemics on networks: Reducing disease transmission using health emergency declarations and peer communication

Azizi, Asma; Montalvo, Cesar; Espinoza, Baltazar; Kang, Yun; Castillo-Chavez, Carlos

Simulations of the spread of infection or awareness are carried out on different network topologies. The patterns vary even when preserving some network properties such as the mean degree (Chowell & Castillo-Chavez, 2003; Moreno et al., 2002; Fig. 5 . Infection Final Size and Incidence Rate Versus Prevalence Threshold: the circles are the mean of 100 stochastic simulations and error bars are 95% confidence interval. The impact of prevalence threshold on infection final size depends on network topology. For networks G E and G W there is an optimal P Ã to minimize infection final size, subfigures (5a, 5b). For the heterogeneous network G S the optimal point for P Ã disappears, subfigures (5c). The incidence rate forthe period of 100 days for Erd} os-R enyi and Small-world networks plotted in subfigures (5d) illustrates the reduction in speed of disease spread at values around optimal prevalence threshold. Shirley & Rushton, 2005) . We simulated the spread of awareness and disease over three different network structures, namely Erd} os-R enyi, Small world and Scale-free networks.