2010 Red Raider Mini-Symposium: Mathematical Modeling in Population Biology and Epidemiology

在过去的九年里，德克萨斯理工大学的数学和统计系每年都会组织一次红色袭击者迷你研讨会。通过杰出的数学家和科学家的演讲以及有前途的早期研究人员的演讲，已经建立了展示当前数学重要性的特定领域的传统。2010年，红色袭击者计划于10月28日至30日在德克萨斯州拉伯克市的德克萨斯理工大学举办一场题为人口生物学和流行病学数学建模的小型研讨会。这是数学与统计系举办的第十届年度红色袭击者微型研讨会。研讨会有七位杰出演讲者和四位职业生涯早期演讲者参加。包括研究生在内的许多其他年轻研究人员也被邀请。今年研讨会的主题是人口生物学和流行病学的数学建模。这一交叉学科领域利用来自动力系统、差分方程、常微分方程式、积分方程式和偏微分方程式的数学技术，并将它们应用于当前人口生物学和流行病学中的问题。研讨会的演讲者及其研究领域强调了针对几个应用领域的各种数学方法，包括新出现的疾病，如流感、结核病、艾滋病毒、耐甲氧西林金黄色葡萄球菌、复发、疫苗接种、检疫和治疗策略的影响、结构化人口模型中的混沌、使用博弈论方法的表型特征进化、人口或疾病持续和灭绝的阈值计算、肿瘤和癌症生长中的细胞动力学，以及恒化器建模中的竞争动力学。在研讨会期间，讨论了当前的研究问题和重要的开放问题。此外，演讲者和与会者之间的互动为合作带来了新的机会。该活动是资深学者、早期职业调查人员、研究人员和学生之间互动和讨论的媒介。该研讨会展示了高水平的数学研究，为高等教育提供了刺激，并促进了西得克萨斯州和周边地区的数学家、公共卫生专业人员、生物学家和其他科学家之间的跨学科互动，与会者来自美国、加拿大和台湾。这次活动吸引了来自数学科学的本科生和研究生以及来自其他研究领域的学生。这次研讨会为年轻研究人员提供了机会，以了解当前人口生物学和流行病学跨学科研究中的问题，并与该领域的领导人会面。

Every year for the past nine years, the Department of Mathematics and Statistics at Texas Tech University has organized a Red Raider Mini-Symposium. A tradition has been established of showcasing particular areas of current mathematical importance through talks given by distinguished mathematicians and scientists and promising early-career researchers. In 2010, a Red Raider Mini-Symposium entitled Mathematical Modeling in Population Biology and Epidemiology is planned for October 28-30 at Texas Tech University in Lubbock, Texas. This is the 10th Annual Red Raider Mini-Symposium organized by the Department of Mathematics and Statistics. The symposium features seven distinguished speakers and four early career speakers. Many other young investigators, including graduate students, are invited.The theme for this year's symposium is mathematical modeling in population biology and epidemiology. This interdisciplinary area utilizes mathematical techniques from dynamical systems, difference equations, ordinary differential equations, integral equations, and partial differential equations, and applies them to current problems in population biology and epidemiology. The symposium speakers and their research areas emphasize a wide variety of mathematical approaches to several application areas, including emerging diseases such as influenza, tuberculosis, HIV, MRSA, the effects of relapse, vaccination, quarantine, and treatment strategies, chaos in structured population models, evolution of phenotypic traits using game theoretic approaches, computation of thresholds for population or disease persistence and extinction, cellular dynamics in tumor and cancer growth, and competitive dynamics in chemostat modeling. During the symposium, current research problems and important open problems are addressed. Additionally, interactions among speakers and attendees lead to new opportunities for collaborations.The event is a medium for interactions and discussions among senior scholars, early career investigators, researchers and students. The symposium presents a high level of mathematical research, provides a stimulus to higher education and promotes interdisciplinary interaction among mathematicians, public health professionals, biologists and other scientists in West Texas and the surrounding region with participants from across the United States, Canada, and Taiwan. The event engages a diverse mixture of undergraduate and graduate students from the mathematical sciences as well as students from other research fields. This symposium provides opportunities for young investigators to learn about current problems in interdisciplinary research in population biology and epidemiology and to meet with leaders in the field.