Conference on Mathematical Modeling and Analysis of Populations in Biological Systems

为这个项目申请的资金将支持美国初级教师和研究生参加一个会议，会议的总主题将是生物种群时间动态的理论、建模和分析。数学建模和分析可以用来洞察和更好地理解生物种群的动态。数学模型建立在生物准确性和数学易操纵性之间的权衡上。特别重要的是对种群动态的影响，这些假设涉及空间或时间异质性或种群内个体特征之间的异质性，以及这些特征如何影响它们与环境相互作用的方式。被邀请的演讲者将讨论各种各样的理论问题、应用(生态学、流行病学等)和说明模型与数据之间的联系的案例研究。这次会议将在新的方向上增进对数学种群生物学领域的理解，这将在今后几年产生重大影响，并将特别有益于本次会议的年轻与会者。

The funding requested for this project will support the participation of U.S. based junior faculty and graduate students in a conference whose general theme will be on the theory, modeling, and analysis of the temporal dynamics of biological populations. Mathematical modeling and analysis can be used to give insight and better understand the dynamics of biological populations. Mathematical models are built on trade-offs between biological accuracy and mathematical tractability. Of particular importance are the effects on a population's dynamics of modeling assumptions concerning spatial or temporal heterogeneities or concerning heterogeneities among the characteristics of individuals within the population and how these characteristics affect the way they interact with their environment. The invited speakers will address a wide variety of theoretical issues, applications (ecological, epidemiological, etc.), and case studies that illustrate the connection of models with data. This meeting will develop understanding in new directions for the area of mathematical population biology that will have significant influence in years to come and will be of particular benefit for the young participants in this conference.