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2019/04/28 09:17     (点击: )

为提高我校数学研究水平,增进学术交流,文理学院数学系特邀请淮阴师范学院王玮明教授、杭州师范大学宋永利教授和香港理工大学王志安教授来我院做专题报告。具体安排如下:

一、报告人:王玮明(淮阴师范学院)

题目:Environmental variability in a stochastic epidemic model

摘要:In this talk, I will introduce the stochastic dynamics of a simple epidemic model incorporating the mean-reverting Ornstein-Uhlenbeck process analytically and numerically. We define two threshold parameters, the stochastic demographic reproduction number Rsd and the stochastic basic reproduction number Rs0, to utilize in identifying the stochastic extinction and persistence of the disease. We find that the stochastic disease dynamics can be determined by the environment fluctuations which measured by the intensity of volatility and the speed of reversion: the larger intensity of volatility or the smaller speed of reversion can suppress the outbreak of the disease, the smaller intensity of volatility or the the higher speed of reversion can enhance the outbreak of the disease. Furthermore, via numerical simulations, we find that the stochastic model has an endemic stationary distribution which leads to the stochastic persistence of the disease. Our results show that mean-reverting process is a well-established way of introducing stochastic environmental noise intobiologically realistic population dynamic models. This is a joint work with Dr. Yongli Cai.

时间:2019年4月28日下午3:30

地点:文理学院学术报告厅理科楼440

报告人简介王玮明,1968年6月生于甘肃正宁,理学博士。现为淮阴师范学院“翔宇学者”、数学科学学院教授;淮安市传染病防控及预警重点实验室主任、淮阴师范学院生物数学研究中心主任;中国数学会生物数学专委会常务理事、副秘书长;中国工业与应用数学会数学与生命科学专委会理事;美国数学会《数学评论》特邀评论员。2017年入选淮安市学术技术领军人才。曾入选浙江省“新世纪151人才工程”第二层次,十二五期间任浙江省重点学科“应用数学”学科带头人。主要研究兴趣生物数学和计算机数学,主持国家自然科学基金2项,研究成果获甘肃省科技进步奖三等奖和浙江省自然科学奖三等奖各1项。

二、报告人:宋永利(杭州师范大学)

题目:Stability and bifurcation analysis in a single population model with delay and nonlocal interaction

摘要:In this talk, we will talk about some single population models with delay and nolocal interaction. Discrete delay,distributed delay and spatiaotemporal delay will be discussed. The stability and Hopf bifurcation for Neumann and Direchlet boundary conditions are investigated. For the distributed delay, our results show that the number of Hopf bifurcation delay values is finite and increasing with the shape parameter $n$, which is significantly different from the discrete delay case The stability and Hopf bifurcation for the diffusive Logistic model withthespatial heterogeneity are also investigated. This talk is based on our recent works joint with W.Zuo, Q. Shi, J. Shi.

时间:2019年4月28日下午4:20

地点:文理学院学术报告厅理科楼440

报告人简介:宋永利,2005年于上海交通大学获博士学位,先后在同济大学和杭州师范大学工作。2011年起任同济大学博士生指导教师。曾出访西班牙、澳大利亚、加拿大、美国做博士后或合作研究。已在SIAM J. Applied Dynamical Systems, Journal of Differential Equations, Journal of Nonlinear Science、Nonlinearity、IEEE Transactions on Neural Networks and Learning Systems、Physica D等国际学术期刊上发表学术论文70余篇。2014年起连续五年入选中国高被引学者榜单(数学类)。曾主持、或作为项目组主要成员在研和完成国家自然科学基金重点项目、面上项目、教育部博士点新教师基金、留学回国人员基金、上海市自然科学基金、浙江省自然科学基金等项目等十余项。2011年入选“教育部新世纪优秀人才”。2017年获威海市科学技术一等奖。2018年入选浙江省高等学校“钱江学者”特聘教授,同年被列入浙江省“151人才工程”第一层次培养人选。

三、报告人:王治安(香港理工大学)

题目:Boundary aggregation and layer formation in the singular Keller-Segel model

摘要:In this talk, we shall report some progress made on global well-posedness and asymptotic behavior of solutions to the singular Keller-Segel model for which very few results are known up to date due to the logarithmic singularity. Recently we find an idea to resolve this singularity and make the problem tractable. By imposing Zero-flux and Dirichlet mixed boundary conditions based on some real experiment, we find the unique boundary aggregation and layer steady state and prove its nonlinear stability.

报告人简介:王治安,1998年毕业于华中师范大学,2001年在华中师范大学获得硕士学位,2007年在加拿大Alberta大学获得博士学位。2001-2003年在华中师范大学任讲师;2007-2009年在美国Minnesota大学数学与应用数学研究所做博士后;2009-2010年在美国Vanderbilt大学任助理教授;2010年至今在香港理工大学任教授。王治安教授主要研究领域是生物数学的模型及其解法,已在包括J. Differential Equations、MathematicalModels and Methods in Applied Sciences、J. MathematicalBiology、SIAM J. Applied Mathematics、Nonlinearity等国际知名数学杂志发表学术论文50多篇,得到了同行专家的大量引用和良好评价。主持多项Hong Kong Research Grant Council科研基金。


                                                                                                                              文理学院

                                                                                                                            2019年4月27日


 

 
   
   
   
   
   
   
                   
 

 

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