Dynamics behavior of a novel infectious disease model considering population mobility on complex network

To describe the impact of population mobility between different cities on the spread of infectious disease, a new infectious disease complex dynamical model is proposed. Moreover, we obtain the basic regeneration number of the model based on applied spectral analysis. And the disease-free equilibrium points and local equilibrium points of the model are discussed, and it is found that two kind equilibrium points are globally asymptotically stable. In addition, the final scale of the presented model is analyzed and an expression for the final scale is obtained. Furthermore, we analyze the impact of population mobility on the spread of infectious diseases via numerical simulations. Our results reveal that the increase of population mobility between two cities leads to more intense disease transmission. Finally, the influence of media effects on the spread of infectious diseases is investigated. It is shown that the spread of diseases is suppressed because of the increase of individual's self-isolation rate. Therefore, controlling the population mobility is an effective initiative to curb outbreaks of infectious diseases throughout the network. These results can provide a theoretical basis for preventing and controlling the spreading of infectious diseases.