摘要
We propose a modified susceptible-infected-refractory-susceptible （SIRS） model to investigate the global oscillations of the epidemic spreading in Watts-Strogatz （WS） small-world networks. It is found that when an individual immunity does not change or decays slowly in an immune period, the system can exhibit complex transition from an infecting stationary state to a large amplitude sustained oscillation or an absorbing state with no infection. When the immunity decays rapidly in the immune period, the transition to the global oscillation disappears and there is no oscillation. Furthermore, based on the spatico-temporal evolution patterns and the phase diagram, it is disclosed that a long immunity period takes an important role in the emergence of the global oscillation in small-world networks.
基金
Supported by National Natural Science Foundation of China under Grand No.10575055
Sponsored by K.C.Wong Magna Fund in Ningbo University
