Research On Complex Network Virus Propagation Model Based On Quarantine Strategy

So far, complex networks have become an effective way to study virus propagation, openedup a new train of thought in the field of virus prevention and control. The virus propagationmodel on complex networks is based on a study of virus propagation, creating a mathematicalmodel suitable for virus propagation. Through the differential dynamics knowledge on complexnetworks constructing the differential equation of the model, then calculate the equilibrium pointof the virus propagation model, providing a theoretical basis for the prevention and control of thespread of the virus. The classic virus propagation models on complex networks are SIR and SISvirus propagation models, which describes the general process of virus propagation, but they cannot accurately represent the spread of certain special features of the virus, so there is much roomfor development.Based on the analysis of the basic principles of classical SIR model, considering quarantinestrategy is usually used when the spread of the virus, for the special virus, the SIR viruspropagation model has been improved. The main work is summarized as follows.(1) Invisible patients’ influence on the virus propagation was studied. The invisible patientrefers to persons who were suffering from virus, but the symptoms were not obvious. Theisolation rate was added to improve the SIR virus propagation model and the SIQR model wasbuilt. The experiment simulated infection rates, contact rate and isolation rate of three factors inthe role of the virus propagation. The simulation results show that effective measures to controlvirus propagation are to limit population flowing, to vaccinate in the large area and to expand thetreatment range of suspected cases.(2) For sudden infectious disease, part of the normal groups can be quarantined invalidly dueto the similar disease characteristics to infected groups. And in this process, there are the increaseof neonatal groups and the decrease of death groups. According to the features of suddeninfectious disease, the SIQR model was improved and the bSIQRd virus propagation model wasbuilt. The mean-field theory of complex networks was used to analyze the problem ofequilibrium point. The relationship between development of infectious disease and influencingfactors such as infection rate and quarantine rate was revealed. The simulation experimentproved its reliability.(3) For the vertical transmission infectious diseases, infected groups will transmit the virus totheir newborn child with certain probability. Therefore, to prevent and control this virus type,quarantined the infected groups, at the same time vaccination for newborn children. To solvethese problems, the bSIQRd model was improved and the qSIQRn virus propagation model wasbuilt. The mean-field theory of complex networks was used to analyze the problem ofequilibrium point. The relationship between development of infectious disease and influencingfactors such as vertical transmission rate and vaccination rate was revealed. The simulationexperiment proved its reliability.The virus propagation model based on quarantine strategy of complex networks built in this paper, for different types of virus infection, complementing the classic SIR virus propagationmodel, making the model has more practical significance.