应用数学与应用统计学是自然科学、社会科学、工程科学、医学科学以及生物科学中非常重要的科学工具。本次国际研讨会的目的是建立 相关研究人员和学者与国内外著名专家、学者、教授在应用数学学科和应用统计学科之间的交流与合作。我们邀请该领域的国内外著名专家、教授做一系列专题报告，对 应用数学和统计学课题组以及相关学科给予指导并进行合作研究。
　　
　　Applied mathematics and statistics are very important and scientific tools used in social sciences, natural sciences, engineering, medical and biological sciences, economics and finance, and many other fields in colleges from our university. The purpose of this international conference is to establish cooperation and collaboration between researchers in applied mathematics and statistics from Northwest A and F University and worldwide well-known professors, experts, and researchers. Several professors and experts from domestics and aboard will be invited to deliver colloquium talks, conduct research projects with researchers from our applied and statistics group as well as other related areas.

　　报告题目: Global stability for cholera epidemic models and some research problems in mathematical biology (The College of William and Mary)
　
　　报告摘要: In this talk, I will briefly introduce several research problems in mathematical biology that my research is focused on, including:

　　(1) Tumor growth with therapies: Mathematical models of tumor growth with therapies, particularly, tumor virotherapy and tumor resection, radiation and chemotherapy. The mathematical model of tumor virotherapy is a nonlinear PDE system. Our model predicts the burst size of oncolytic virus is the most important factor for the success of virotherapies, which was confirmed by experiments. The common procedure to deal with brain tumor is: resection, radiation plus chemotherapy. The survival time varies over patients. What is the optimal combination of these therapies that gives a patient the maximum survival? We present a mathematical model to study this question. The model is a nonlinear PDE system. We made suggestions about protocols that can give patients most benefits.

　　(2) Germline stem cell competition and neural stem cell control: I will present an ODE system of mathematical model for two germline stem cell competition for niche space, and ODE system for neural stem cell control.

　　(3) Infectious disease models of cholera: Cholera is a water and food borne infectious disease caused by the gram-negative bacterium, Vibrio cholerae. Its dynamics are highly complex owing to the coupling among multiple transmission pathways and different factors in pathogen ecology. Although various mathematical models and clinical studies published in recent years which have made important contribution to cholera epidemiology, our knowledge of the disease mechanism remains incomplete at present, largely due to the limited understanding of the dynamics of cholera. In this paper, we conduct global stability analysis for several deterministic cholera epidemic models. These models, incorporating both human population and pathogen {\it V. cholerae} concentration, constitute four- dimensional nonlinear autonomous systems where the classical Poincare-Bendixson theory is not applicable. We employ three different techniques, including the monotone dynamical systems, the geometric approach, and Lyapunov functions, to investigate the endemic global stability for several biologically important cases. The analysis and results presented in this paper make building blocks towards a comprehensive study and deeper understanding of the fundamental mechanism in cholera dynamics.

　　报告时间：2011年6月24日 星期五 上午10：00-11：00

　　报告地点：理学院二楼会议室

　　报告人简介： Jianjun Paul Tian, he received his Ph.D in Mathematics, University of California, 2004. He then completed a postdoctoral fellow at the NSF institute, Mathematical Biosciences Institute, on Ohio State University campus, 2004-2007. His areas of specialization is Mathematical and Computational Biology. He now is a assistant professor in Mathematics Department, College of William and Mary. He has written 4 books and published more than 23 papers in many famous journals such as: Mathematical Biosciences, DCDS, Bulletin of Mathematical Biology and so on.. For more details please see Web: www.math.wm.edu/~jptian.

　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　理学院
　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　2011年6月23日