A study on IHSRI model of negative ideological propagation

Abstract:

The negative ideological are mostly qualitative analyzed at present, whichfailed to reveal the inherent law of ideological propagation. In order to solve the problem, the IHSRI (Ignorant HiddenSpread Removed Ignorant)model is proposedutilizing the method of virus propagation theory and mathematical modeling. Firstly, the authors analyze the conversion relationship between of Internet users under four states, that is, ignorant(I), hidden (H), spread (S) and removed (R).Then, the authorsestablish the corresponding mathematical propagation model. The equilibrium point of the model is calculated and the local stability of the model is analyzed and proved. The no negative equilibrium is locally asymptotically stable when the basic reproduction number R0 is less than or equal to 1; the negative equilibrium is locally asymptotically stable as the number R0 is greater than 1.Finally,the simulation result shows that the basic reproduction number R0 can be reduced from 5.71 to 2.67 when the transfer rate ε (transforming from H to R) increases from 0.04 to 0.2;R0 can be reduced from 5.71 to 1.07 when the proportionality coefficient αdecreases from 0.8 to 0.15.It can be seen that the value of R0 can be reduced by increasing ε and decreasing α, and the model can be approximated to the nonnegative equilibrium. The research shows that the IHSRI model can accurately describe the process of negative ideology propagation, which proved that this modelis reasonable and effective.