报告题目:Media alert in an SIS epidemic model with logistic growth(具有logistic增长的SIS流行病模型的媒体预警)
报告人:刘志军教授 (湖北民族大学)
报告时间:2019年1月11日(星期五)下午3:30-4:30
报告地点:理学院二楼会议室
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.
报告人简介
刘志军,湖北民族大学理学院院长、教授,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,主持在研国家自然科学基金面上项目1项,主持完成国家自然科学基金地区项目、教育部科学技术研究重点项目、中国博士后科学基金、湖北省自然科学基金各1项。获得湖北省自然科学奖三等奖1项(排序第二)。