The Mechanism Of SIS Virus Model And Its Application In Supply Chain Network

SIS(Susceptible-Infected-Susceptible)virus model belongs to the classical virus transmission.The research on complex networks has been enriched and improved,Since the complex networks was proposed.This paper mainly studies the dynamic characteristics of SIS virus in different networks.(1)Recovery probability and degree on the critical value,Studying the dynamic characteristics of SIS virus model in one-way network and using theoretical process to analyze the impact of propagation probability.The theoretical analysis shows that the critical value of network propagation is inversely proportional to the average degree of network when the recovery probability is fixed.The recovery critical value of the network is proportional to the average degree of the network,When the propagation probability is fixed.The propagation probability and recovery probability are linear,When the critical phenomenon occurs.The experimental results show that with the different initial infection density,the simulation value of the critical value also varies.With the increase of the initial infection density,the error between the simulation value and the theoretical value of the critical value gradually decreases.The simulation value of the critical value is larger than the theoretical value,When the initial infection density is close to 1.(2)Studying the critical situation of SIS virus model when the scale of network and the distribution of degree will change periodically.Solving the propagation process theoretically,the expression of critical state is deduced.The theoretical analysis shows that the critical value is related to the degree distribution and recovery probability of the network.The critical value decreases with the increase of the degree of the network,and decreases with the increase of the propagation period.The simulation analysis shows that there is a critical phenomenon in virus transmission and the critical value decreases with the increase of initial infection density and the increase of transmission cycle.With the change of network capacity in simulation,the critical values are different.(3)Two-tier supply chain network is constructed as the network framework of SIS virus model transmission,Based on the supply chain network.The transmission of virus in the network is described by mathematical language and the process of virus is described by more concretely examples.Finally,the theoretical value of critical value is deduced by theory.The theoretical value of theoretical solution is close to the degree and the recovery probability of the network.Simulation is used to verify the results of the theoretical solution,and the impact of initial infection density,degree and transmission cycle on simulation results is analyzed.