Entropy and Selection Dynamics
报告题目(Title):Entropy and Selection Dynamics
报告人(Speaker):Hailiang Liu (Iowa State University)
地点(Place):后主楼1124室
时间(Time):2019年6月5日下午2:00-3:00
邀请人(Inviter):张辉
报告摘要
We present several integral-differential equations that describe the evolution of a population structured with respect to a continuous trait. Under some assumptions, solutions are shown to converge toward the evolutionary stable distribution, using the tool of relative entropy. Efficient numerical methods for capturing selection dynamics are highly desired for model prediction, and we have developed entropy satisfying finite volume methods with provable nice properties. The role of nonlinear competition will also be discussed.