Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Hailiang Liu, Iowa State University, USA
Entropy and Selection Dynamics
Time & Venue:
2019.7.26 10:00-11:00 N202
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.
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