Our Colloquium series offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across mathematics, statistics, and data science.
Professor Ying (Joy) Zhou from Lafayette College will speak at this week's colloquium on "Ideal Free Distribution and Evolution of Dispersal in Integrodifference Equation Models."
Abstract: An Ideal Free Distribution is a Nash equilibrium in habitat selection where no individual can increase their fitness by unilaterally moving to another location. In various model frameworks, dispersal strategies associated with ideal free distributions are shown to be evolutionarily stable strategies (ESS). In this talk, I will discuss the evolution of dispersal in the context of integrodifference equation models, which are discrete-time dynamical systems defined with integral operators. In an integrodifference equation, dispersal from one location to another is modeled by the kernel of an integral operator referred to as the “dispersal kernel”. We will find what dispersal kernels correspond to evolutionarily stable strategies in an integrodifference equation framework, and how a dispersal kernel can evolve towards an evolutionarily stable strategy in a model with spatial memory and learning.
Speaker Bio: (Joy) Ying Zhou is an Associate Professor in the Department of Mathematical Sciences at Lafayette College. She received her Ph.D. from University of Washington, and held a postdoctoral position at the Mathematical Biosciences Institute at The Ohio State University before joining Lafayette College. Her research areas include integrodiffrence equations and mathematical biology.
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