Dynamic analysis of an SEIRS model with nonlinear infectivity on complex networks (Q2788455)

This paper studies the spreading of infections on complex heterogeneous networks based on an SEIRS epidemic model with nonlinear infectivity. ``By mathematical analysis, the basic reproduction number \(R_0\) is obtained. When \(R_0\) is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out, while \(R_0\) is greater than one, the disease-free equilibrium becomes unstable and the disease is permanent, and in the meantime there exists a unique endemic equilibrium which is globally attractive under certain conditions. Finally, the effects of various immunization schemes are studied. The theoretical results agree with the corresponding numerical simulations.'' (Quoted from the summary).NEWLINENEWLINEIn the reviewer's opinion, the Molloy-Reed criterion for the existence of large networks should have been referred to.