应数学系方健教授邀请，迈阿密大学Chris Cosner教授将于7月31日至8月3日访问数学系并作学术报告。
报告时间：8月3日上午10:15-11:15
报告地点：格物楼503
报告题目：The reduction principle, the ideal free distribution, and the evolution of dispersal strategies
摘要：The problem of understanding the evolution of dispersal has attracted much attention from mathematicians and biologists in recent years. For reaction-diffusion models and their nonlocal and discrete analogues, in environments that vary in space but not in time, the strategy of not dispersing at all is often convergence stable within in many classes of strategies. This is related to a “reduction principle” which states that that in general dispersal reduces population growth rates. However, when the class of feasible strategies includes strategies that generate an ideal free population distribution at equilibrium (all individuals have equal fitness, with no net movement), such strategies are known to be evolutionarily stable in various cases. Much of the work in this area involves using ideas from dynamical systems theory and partial differential equations to analyze pairwise invasibility problems,
which are motivated by ideas from adaptive dynamics and ultimately game theory. The talk will describe some past results and current work on these topics. |
