The Dynamics of Heterogeneous Ecological and Evolutionary Systems

这项提议将支持对数学和生物领域的研究生进行培训。研究领域的重点将是异质生态和进化系统的动力学，重点是时空异质性。重点将放在广泛的组织和时间尺度上的确定性和随机模型上。学生将在确定性或随机性数学技术、计算方法和统计学以及生物学专业领域获得专业知识。学生可以主修几个生物领域中的一个，辅修一个正式的数学领域，也可以主修一个数学领域，同时进行实地或实验室研究，并满足生物辅修的正式要求。学生将通过一个综合项目接受培训，其中包括数学家、生态学家和进化生物学家，他们具有跨越学科界限的能力。

This proposal will support the training of graduate students in the areas of mathematics and biology. The focus of the research area will be the dynamics of heterogeneous ecological and evolutionary systems, with an emphasis on spatial and temporal heterogeneity. The focus will be on deterministic and stochastic models across broad organizational and temporal scales. Students will be expected to gain expertise in either deterministic or stochastic mathematical techniques, in computational methods and statistics, and in an area of specialization in biology. Students may major in one of several biological fields, with a formal minor in a mathematical field or they may major in one of the mathematical fields, while undertaking field or laboratory research, and satisfying the formal requirement for a biology minor. Students will be trained through an integrated program, involving mathematicians, ecologists, and evolutionary biologist with a demonstrated capacity to cross the boundaries between their disciplines.