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王海燕、张启敏教授学术报告
2019-06-18 18:04   审核人:   (点击: )

报告题目一:Combining network theory and differential equations to study spatio-temporal diffusion

报告时间:2019年6月19日星期三下午2:40-3:40.

报告地点:理工实验楼304

报告人:王海燕美国亚利桑那州立大学数学教授

报告摘要:The ever-increasing availability of geospatial data now opens the possibility to use spatio-temporal models to more accurately describe/predict patterns of movement and trends in human activities, epidemic spread, environmental changes and many other natural phenomena. In this lecture, we present an integrated framework for combining network theory, data mining and partial differential equation models to describe/predict patterns of epidemic and information diffusion processes on networks. Topics include network clustering, ODE/PDE modeling. In addition, I will discuss a number of mathematical problems including free boundary value problems and bifurcation problems arising from these applications.

报告人简介:王海燕教授于1997年在美国密歇根州立大学获得数学博士和计算机硕士学位,现为美国亚利桑那州立大学数学教授. 长期从事应用数学, 生物数学,网络信息扩散的建模,大数据研究工作。近年来,在国际权威期刊上发表学术论文90余篇,并主持美国国家自然科学基金。被国际同行引用超过4400多次,被邀请在国际学术会议或学校作过超过140次报告,被100多个知名国际学术期刊邀请作为审稿人。

 

报告题目二:Analysis of a stochastic SIRS model with interval parameters

报告时间:2019年6月19日星期三下午4:00-5:00.

报告地点:理工实验楼304

报告人:张启敏宁夏大学二级教授

报告摘要:Many studies of mathematical epidemiology assume that model parameters are precisely known. However, they can be imprecise due to various uncertainties. Deterministic epidemic models are also subjected to stochastic perturbations. we analyze a stochastic SIRS model that includes interval parameters and environmental noises. We define the stochastic basic reproduction number, which is shown to govern disease extinction or persistence. When it is less than one, the disease is predicted to die out with probability one. When it is greater than one, the model admits a stationary distribution. Thus, larger stochastic noises (resulting in a smaller stochastic basic reproduction number) are able to suppress the emergence of disease outbreaks. Using numerical simulations, we also investigate the influence of parameter imprecision and susceptible response to the disease information that may change individual behavior and protect the susceptible from infection. These parameters can greatly affect the long-term behavior of the system, highlighting the importance of incorporating parameter imprecision into epidemic models and the role of information intervention in the control of infectious diseases.

报告人简介:张启敏,2004年6月西安交通大学获得博士学位。二级教授,博士研究生导师,宁夏自治区313人才。中国生物数学学会常务理事,中国人口学会理事和宁夏统计学会理事。长期以来一直从事生物种群及固定资产建模及的数值计算、种群动力学行为和最优控制理论研究工作。主持完成国家自然基金2项、国家社科基金1项和省部级项目6项,目前在研国家自然基金1项。出版学术专著2部。SSCI和SCI检索论文40余篇。

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