Study On Disease Transmission SEIS And SEIR Models On A Few Kinds Of Complex Networks

In this paper,under the condition of latent and no incubation period,we study the epidemic threshold and other properties of two types of disease trans-mission models:Susceptible-Exposed-Infected-Susceptible(SEIS)model and Susceptible-Exposed-Infected-Recovered(SEIR)model.We find that the epidemic thresholds of these two types of diseases transmission models are inde-pendent on the transition probability for the uniform networks and the scale-free networks.However,when the equilibrium is reached,the density of the infected individual increases with the increases of the transition probability.Furthermore we also find that,for the dynamic small world network,in the SEIS model,the threshold conditions for the spread of the disease is ?>?/1+?;in the SEIR model,the epidemic threshold of diseases transmission is p>(1-?)?/?.