In the SEIQ（susceptible-eclipse-infected-quarantine） model with the long-distance infected in the small-world network

the eclipsed and infected nodes infect not only their neighbors but also other nodes with the certain probability.Based on this idea

L-SEIQ model is established.In the L-SEIQ model

the eclipsed and infected nodes may connect with the nodes which is not their neighbors.By analyzing the spread of the disease with the mean-field theory

it is easy to get the critical threshold of immunization.Compare it with the traditional SEIQ model

the critical threshold of the new model is less

and is closely related to the probability of long-distance infected and the probability of the infected.The result of the simulation shows that when the probability of the infected is proper

the probability of long-distance infected is very important to the spread of the disease

with the decreasing of the long-distance infected

the critical threshold will decrease until dying away.