Abstract
A new SEIRS epidemic model with time delay on a scale-free network is introduced. The basic reproduction number R0 is defined and it does not depend on time delay τ. By analyzing the characteristic equation of equilibria and constructing suitable Lyapunov functionals, the stability of steady states is proved. System does not occur Hopf bifurcation around disease-free equilibrium E0. Uniform immunization and targeted immunization are investigated. Numerical simulations and sensitivity analysis are performed. Results indicate that time delay plays a significant part in propagation process of epidemics on a scale-free network.
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