betway必威2019年学术报告(二)

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

主办单位:betway必威

报告专家:刘志军(湖北民族大学教授)

报告地点:东校区8406
报告时间201931 (周五)  14:00-15:30

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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,男,湖北民族大学理学院院长、二级教授,湖北省新世纪高层次人才工程人选,美国《数学评论》评论员,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常务理事。以第一作者或通讯作者发表SCI检索论文40余篇,目前主持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、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)。