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Dynamics of the impact of Twitter with time delay on the spread of infectious diseases

Dynamics of the impact of Twitter with time delay on the spread of infectious diseases
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摘要 In this paper, a mathematical model to study the impact of Twitter in controlling infectious disease is proposed. The model includes the dynamics of "tweets" which may enhance awareness of the disease and cause behavioral changes among the public, thus reducing the transmission of the disease. Furthermore, the model is improved by introducing a time delay between the outbreak of disease and the release of Twitter messages. The basic reproduction number and the conditions for the stability of the equilibria are derived. It is shown that the system undergoes Hopf bifurcation when time delay is increased. Finally, numerical simulations are given to verify the analytical results.
出处 《International Journal of Biomathematics》 SCIE 2018年第5期129-145,共17页 生物数学学报(英文版)
关键词 TWITTER EPIDEMIC Hopf bifurcation time delay 传染疾病 动力学 延期 时间 传播 数学模型 Hopf 数字模拟
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