Stability Analysis of Investor Emotional Propagation Model Based on SIR Model on Homogeneous Network

Abstract

In the stock market, the investor's investment sentiment has a serious impact on other individual investors. In the past, people used the infectious disease transmission model to conduct in-depth research on the \u00a0spread \u00a0of \u00a0various \u00a0diseases. \u00a0In \u00a0this \u00a0paper, \u00a0we \u00a0will \u00a0use \u00a0the \u00a0infectious \u00a0disease \u00a0model. \u00a0Based \u00a0on \u00a0and improved, the time delay caused by information delay and the saturation rate due to people's limited social ability are added to the homogenous network, which makes the established model more realistic. First, \u00a0we establish the goal of emotional communication. The positive sentiment-based SIR propagation model is then proved by a series of mathematical methods to the local stability and global stability of the model. Finally, we use the numerical simulation study to verify the results we obtained, and the results show that: When the number of people stays in equilibrium and the information lagging factors are kept under control, the market will remain stable.