Study on Stock Market Rumor Spread Model with Medium

There is a similarity between the spread of rumors and the spread of infectious diseases. With the advent of the era of Internet, people can express opinions on the Internet and spread the information, and it provides a more convenient way for spreading rumors, rumors spread faster, wide transmission range, it’s bad for People's life. Therefore, the construction of a realistic market rumor propagation mode is better to understand the spread of rumors, based on the research of the stock market investor sentiment, market rumors spread model is established. Combining the theory of transmission dynamics, we find the basic reproductive number, when , the stock market rumors fade away, when , the stock market rumors will continue to exist. The stability of the equilibrium point is discussed, A reasonable Lyapunov function is constructed to prove the global asymptotic stability of the equilibrium point. Finally simulation verifies the correctness of the conclusion.