Conference on Mathematical Modeling and Analysis of Populations in Biological Systems

该项目所需的资金将支持美国的初级教师和研究生参加一个会议，其总主题将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提供洞察力，更好地理解生物种群的动态。数学模型是建立在生物准确性和数学易处理性之间的权衡之上的。特别重要的是对一个人口的动态建模假设的空间或时间的异质性或有关的异质性之间的特点，人口和这些特点如何影响他们与环境的相互作用的方式。受邀演讲者将讨论各种各样的理论问题，应用（生态，流行病学等），以及说明模型与数据之间联系的案例研究。这次会议将发展理解的新方向的数学人口生物学领域将有重大影响，在未来几年，将特别有利于年轻的与会者在本次会议。

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.