Research On Rumor Propagation Model In Investor Network

For the transmission mechanism,the infectious disease model has a more intuitive expression of differential equations.In recent years,with the continuous development of complex networks,many researchers have use the theory of complex networks on the basis of epidemic models and conducted in-depth research on the spread model of rumors.In the investment market,the interconnection between investors forms the investor's network.The spread of malicious rumors on the investor's network seriously impacts the stability of the investment market.Therefore,based on the SIR epidemic model,this paper notes that there are similarities between the spread of rumors on the investor network and the transmission of infectious diseases,combining rumors spread with epidemic models,the rumors propagation model was established on the investor network,and analyzed the basic reproduction number and stability of the equilibrium of the model,and explored the influencing factors of rumor propagation.The main work is as follows:First of all,according to the actual situation of investor network and considering the spread of single rumor on investor network,a SE2IR rumor propagation model with hesitant mechanism is proposed.Based on this model,through the analysis of the propagation threshold of rumors,the factors affecting the spread of rumors are obtained.Then use Lyapunov stability theory to prove the stability of the non-propagating equilibrium,and discuss the final proportion of investors in different states.At last,random immunization strategies and target immunization strategies were implemented separately for the models.The simulation results verify the correctness of the above conclusions and draw the following conclusions:reducing the fuzziness and attractiveness of rumors can effectively reduce the fuzziness and attractiveness of rumors.Reduce the influence of rumors.And under the same conditions,the target immunization strategy is more effective than the random immunization strategy.Secondly,through further research on investor networks,we will find that there may be several rumors spread simultaneously in the network,Considering the liquidity of investors,SI₁I₂RS time-delay rumor propagation model based on scale-free network is established.The global stability of non-propagating equilibrium points and the existence of propagation equilibrium points are analyzed and discussed,and numerical simulations was carried out from the perspective of propagation dynamics,using control variable method to explore the influence of different parameters on rumor propagation.The results show that increasing the proportion of steady investors and prolonging the period of immunity,reducing the mutual contact between investors and enhancing the liquidity of investors will help to curb rumors.