Conference on Mathematical Modeling and Analysis of Populations in Biological Systems

本项目申请的资金将支持美国的初级教师和研究生参加一个会议，该会议的一般主题是生物种群的时间动态的理论、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。数学模型是建立在生物学精确性和数学可追溯性之间的权衡之上的。特别重要的是，关于空间或时间异质性或关于种群内个体特征之间的异质性以及这些特征如何影响他们与环境相互作用的方式的建模假设对种群动态的影响。受邀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），以及说明模型与数据联系的案例研究。这次会议将在数学种群生物学领域的新方向上发展理解，这将在未来几年产生重大影响，并将对本次会议的年轻参与者特别有益。

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.