Two delayed SEIRS epidemic model in networks

Two delayed SEIRS epidemic model with the differences of connected network nodes is founded in spreading of networks. In this paper, we analyzed the spreading behavior of this model and obtained a important parameter R, also obtained conclusions that the disease-free equilibrium is globally asymptotically stable if and only if R ≤ 〈k〉/〈k〉², on the other hand, endemic disease will be reached finally if R ≥ 1/〈k〉 θ. Also, numerical simulation is given to validate our theorems and show how to control the epidemic disease. The simulation results show that it is necessary to consider the topological nature of networks.