A Study On The Co-propagation Dynamics Of Multiple Viruses In Complex Networks

In order to understand the interaction between epidemics and thus effectively prevent and control the spread of diseases,more and more people are beginning to pay attention to the dynamic behavior of multiple pathogens or multiple strains of the same disease in the same population with topological structure of the social contact network.In this paper,a multi-virus co-infections model on a complex network is constructed.Through the numerical simulation and molecular dynamics simulation,the dynamic behavior of multiple pathogens or multiple strains of the same disease in the same population are obtained Important conclusion.The main content and conclusion of the paper are as follows.First of all,from the World Health Organization,we found real data of the influenza subtype virus with various countries for analysis,and found the simultaneous outbreak of influenza viruses.In order to understand and explain this phenomenon,we constructed the SIRS model with time-delay in which multiple pathogens spread together and gave the dynamic equations.The numerical simulation results show that when the coupling strength is less than zero,the in-phase synchronization phenomenon occurs between the nodes.In order to quantitatively measure the synchronization of the nodes,we calculated the synchronization order parameters of the nodes under different coupling strengths,and found that the phase of the nodes changed from unsynchronized to synchronized with the increase of the coupling strength.At the same time,the synchronous sequence parameters of influenza virus in the actual data are all around 0.7 to 0.8,which is basically consistent with the numerical simulation results.On this basis,considering the influence of network structure and network size on the model,a dynamic model of multi-virus co-infections on a complex network is constructed.The numerical results show that the in-phase synchronization between nodes does not change with the network size and network structure.In addition,the molecular dynamics simulation method was used to study the transmission behavior of two and three viruses under the same infectious disease in the same population,and the conclusions were consistent with the average field model.Then,based on model of multiple pathogens of the same disease co-infections on a complex network,we construct a coupled propagation model of a class of SIRS diseases and a class of SIS diseases and gave the dynamic equations.The numerical simulation results show that as the coupling strength increases,the dynamic behavior of the node gradually changes from periodic oscillation to oscillation death.The MD method was used to simulate the transmission behavior of different types of infectious diseases in the same population-Although individuals have different contact networks,the phenomenon of oscillating death has always existed.Finally,we extend the model to the three SIRS infectious diseases and the two SIS infectious diseases spreading,which can not only obtain the in-phase synchronization between the same viruses,but also find the oscillation death between different infectious diseases.In order to simplify the complex process of multi-virus coupling transmission,this paper proposes a model that can study multiple pathogens or multiple strains of the same disease in the same population.Its advantage is that it can easily simulate the coupling behavior of a large number of infectious diseases,and can write its dynamic equation,which provides a new idea for the study of multi-virus coupling transmission on complex networks,and further promotes the study of infectious disease models.