【摘要】 针对媒体信息对传染病的影响问题，考虑媒体报道的滞后因素，提出了一类具有媒体报道滞后效应的传染病模型.首先，定义了模型的基本再生数，分析了模型的无病平衡点和地方病平衡点的局部稳定性.其次，给出系统存在纯虚根以及产生Hopf分支的条件.最后，通过数值模拟验证结果.研究表明，媒体报道产生的时滞会引发Hopf分支、产生周期解、破坏系统的稳定性，说明媒体对传染病的延迟报道不利于传染病的预测和防治.更多还原

【Abstract】 Aiming at the influence of media information on epidemic diseases, considering the delayed factor of media reports, a kind of epidemic disease model with time-delay of media coverage is proposed.Firstly, the basic regeneration number of the model is defined, and the stability of disease-free equilibrium and local equilibrium of the model is analyzed.Secondly, the existence of pure imaginary roots and the conditions of Hopf bifurcation are given.Finally, the results are verified by numerical simulation.The results show that the time-delay of media reports can trigger Hopf branching, produce periodic solutions, and destroy the stability of the system, which indicates that the delayed media reports on epidemic diseases are not conducive to the prediction and treatment of diseases.更多还原