By 18:00 on February 16, 2020, the cumulative number of confirmed cases caused by COVID-19 epidemic in China has reached 68,592. The epidemic control work is at a critical period. However, the proliferation of the pseudo-science Internet rumors during the COVID-19 epidemic cause widespread adverse social events, such as the blind rush purchases and hoarding, which seriously affect the epidemic control and the normal social order. Taking the COVID-19 epidemic as an example, this paper reviews the definitions of the pseudo-science and Internet rumors proposed by domestic and foreign scholars. Four major pseudo-science Internet rumors that have had a greater impact in this epidemic, and the data on Sina Weibo(microblog) are used as examples to analyze the spread characteristics of the pseudo-science Internet rumors. Based on the SEIR model, this paper comprehensively analyzes factors such as the lag of official intervention, the bandwagon effect of individual information acceptance, and the spread characteristics of rumors, and the mechanism of the pseudo-science Internet rumors in major public health emergencies through numerical experiments. Finally, this paper proposes countermeasures for the pseudo-science Internet rumors in major public healthy emergencies from various angles.