报告题目：Media alert in an SIS epidemic model with logistic growth

报告时间：2019年01月05日   10:00-12:00

报告地点：数学与统计学院金融实验室

报告人：湖北民族大学   刘志军教授

报告摘要：In general, media coverage would not be implemented unless the number of infected cases reaches some critical number. To reflect this feature, we incorporate the media effect and a critical number of infected cases into the disease transmission rate and consider a susceptible-infected-susceptible epidemic model with logistic growth. Our model analysis shows that early media alert and strong media effects are preferable to decrease the numbers of infected cases at endemic equilibria. Furthermore, we noticed that the model may have up to three endemic equilibria and bi-stability can occur in a threshold interval for the critical number. Note that the interval depends on parameters for the focal disease and the media effect. It is possible to roughly estimate the interval for re-emerging diseases in a given region. Therefore, the result could be useful to health policymakers. Global stability is also obtained when the model admits a unique endemic equilibrium.

刘志军，男，湖北民族大学理学院院长，湖北省新世纪高层次人才工程人选，中国生物数学学会、湖北省数学学会、湖北省工业与应用数学学会的常务理事。以第一作者或通讯作者发表SCI检索论文40余篇，主持或主持完成多项国家级和省部级项目。