Epidemic process on activity-driven modular networks

• We study the impact of community structure in epidemic spread on activity-driven networks.
• The epidemic threshold on activity-driven networks can be theoretically drawn.
• The epidemic threshold only involves with the value of the spread rate and the recovery rate.
• The infected-driven vaccination model is presented.

In this paper, we propose two novel models of epidemic spreading by considering the activity-driven and the network modular. Firstly, we consider the susceptible–infected–susceptible (SISSIS) contagion model and derive analytically the epidemic threshold. The results indicate that the epidemic threshold only involves with the value of the spread rate and the recovery rate. In addition, the asymptotic refractory density of infected nodes in the different communities exhibits different trends with the change of the modularity-factor. Then, the infected-driven vaccination model is presented. Simulation results illustrate that the final density of vaccination will increase with the increase of the response strength of vaccination. Moreover, the final infected density in the original-infected-community shows different trends with the change of the response strength of vaccination and the spreading rate. The infected-driven vaccination is a good way to control the epidemic spreading.