Impulsive control of epidemic spreading with nonlinear incidence rates on complex networks

Considering hybrid impulsive and switching control and the case that many networks relevant to the epidemic spreading are homogeneous, including `small-world´ networks, random networks and lattice models networks, an improved SIR epidemic model with impulsive control on homogeneous complex networks is presented. The dynamic behaviours of the model are considered, the conditions and threshold to the existence of the disease-free T-Periodic solution are established and the globally asymptotic stability is proved in the paper.