| Many propagation phenomena in the real world,such as the spread of computer viruses,the spread of rumors,infectious diseases Propagation,etc.,can be described by the propagation dynamics on complex networks and abstracted into dissemination process on complex networks.Therefore,the research of propagation dynamics based on complex network which is widely used in disease prevention and control,risk assessment,and other fields has attracted the extensive attention of a large number of experts and scholars.However,many propagation phenomena in real life usually do not exist separately,but interact and co-evolve with each other,such as the simultaneous outbreak of multiple diseases and the simultaneous spread of multiple rumors.This also makes the modeling of propagation dynamics on complex networks and the study of interventions way more difficult.In recent years,researchers have discovered that the resource and disease coupling propagation dynamics on complex networks can well fit the infectious disease propagation and recovery process in real world and the distribution of resources(such as masks,84 disinfectant water,etc.)plays a crucial role in epidemic prevention and control.For further study the propagation dynamics of resource and disease coupled propagation on complex networks,and find ways to intervene the propagtion process.This paper improves the existing related models and further studies the resourcedisease coupled propagation dynamics on complex networks.The main research contents and innovation points of this paper can be summarized as follows two points:1.A resource and disease coupled propagation model based on a two-layer complex network is proposed,and resources support,contact preference,node resistance,and two-tier network structure for disease outbreak thresholds and spread impact of size are discussed based on this model.The study found that with the increase of the resource generation index,the steady-state infectious disease outbreak threshold in the model shows a trend of decreasing first and then increasing,When the resource generation index is 0,the minimum value is obtained.The transmission scale shows a trend of decreasing first and then increasing.When the resource generation index is 0,the minimum value is obtained,at this time,the susceptible node can provide the most resources for their infected neighbors,and the recovery probability of the infected node is the largest;Secondly,the study found that when infected nodes tend to spread disease to nodes with large degrees,the transmission scale of steady-state infectious diseases in the model is the smallest;Finally,it is found that with the increase of node resistance the scale of steady-state disease transmission in the network continues to decrease.2.A resource and disease coupled propagation model based on alertness is proposed.The model is based on the assumption that the node infection rate is related to the amount of resources.On this model,the influence of node vigilance on coupling propagation dynamics is studied in this paper.It is found that there is an optimal vigilance value in the model,under this condition,the disease transmission range is the smallest and the disease outbreak threshold is the largest.The above research results shows that during the outbreak of infectious diseases,individuals should maintain a reasonable vigilance,and should not be overly vigilant or relaxed.The model proposed in this paper can better describe the epidemic transmission process in the real world.The relevant research results can be used as theoretical support for the formulation of infectious disease prevention and control policies. |
