Research On Epidemic Model Considering Node Characteristics In Double Network

Epidemic always exist in the long course of human history,such as the Black Death in the 14 th century,SARS in 2003,COVID-19 in 2020 and so on.Scholars from all circles have been committed to building more realistic epidemic models.At present,most epidemic spreading models are based on two-layer networks.The states of the individuals between the two layers and the states of the individuals and their neighbors on the same network layer both influence each other,which will change the speed and mode of information diffusion and epidemic spreading.With the development of mobile communication technology,once an epidemic appears,relevant information will quickly be disseminated through the information network.Different oriented information has different effects on epidemic spreading and it is necessary to discuss the coupling dynamic relationship between awareness diffusion and epidemic spreading.In this paper,new interactive models are established to study the interaction between awareness diffusion and epidemic spreading under the two-layer network framework.The main research contents include the following three aspects:(1)Establish the UAU-SIRⅠmodel to study the influence of the interaction of different individual states between the two layers.The paper discusses the different effects of authoritative information(positive-oriented information)and rumors(negative-oriented information)on epidemic spreading.Results show that under the effect of authoritative information,conscious individuals can change their own behavior to inhibit epidemic spreading,while infected individuals contribute to promoting awareness diffusion.Negative information spreads with the opposite conclusion.(2)Establish the UAU-SIR Ⅱ model to study the influence of the interaction between the states of individuals and neighbors on the two single-layer networks.Results show that model Ⅱ will inhibit authoritative information awareness diffusion and promote epidemic spreading,and promote rumor awareness diffusion and suppress epidemic spreading.Neighbor status should be taken into account in the construction of the prediction model.(3)Establish the co-evolution network model to study the influence of the degree correlation(IDDC)between information network and contact network on the interactive process.Result show that the impact on the interactive transmission get stronger as the IDDC of the two-layer network increase.A larger IDDC will promote the spread of awareness and inhibit the spread of epidemic when authoritative information spread,and inhibit the spread of awareness and promote the spread of epidemic when rumor spread.