Influence of mobile agents on the spreading behavior of SIS model

We propose an improved SIS (Susceptible-Infected-Susceptible) model with mobile agents to explore the effect of agents’ motion on the epidemic spreading. Under the random jumping situation, the analytic formula of critical threshold is derived by the mean field theory. Then a large number of numerical simulations are performed to verify the theoretic prediction, and the simulation results at the condition of different population density and infection radius agree well with the mean field analysis. In addition, we also find that the long range jump will also remarkably influence the dissemination behavior of epidemic spreading.