Chris Cosner, Ph.D., from University of Miami will speak at this week's Mathematics Colloquium on some recent results on the ideal free distribution in models for the evolution of dispersal.
Please note that the talk is scheduled for Tuesday, February 18, 2025, from 10:30 to 11:30 a.m., which differs from our usual time slot.
Abstract: In reaction-advection-diffusion models for populations in bounded heterogeneous regions and their discrete or nonlocal counterparts, there is often selection for slower dispersal, because faster dispersal tends to reduce population growth rates (the reduction principle) or make populations more vulnerable to invasion. However, dispersal strategies where individuals can move freely to optimize their fitness may avoid the reduction principle and are known to be evolutionarily stable for many types of models for a single population in a static environment. Such strategies are said to produce an ideal free distribution of the population. In this talk I will describe some recent extensions of such ideas and results to environments that are periodic in time and to simple predator-prey systems and present a model for how a population might learn to migrate in a way that allows it to approach an ideal free distribution.
The UCF Mathematics Colloquium, typically held on Mondays from 3:30 to 4:30 p.m. in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.
Read More