Speaker: Parker Allmond (UCF, Mathematics Department) Title: Wavelets and Wavelet Transforms Abstract: In the 1980's the concepts of wavelets began to appear across literature in mathematics, physics, and engineering. Intuitively understood as "brief" or "localized" oscillations, it was quickly realized by authors such as Morlet, Grossman, and Meyer that these wavelets could be used as the foundation for an integral …
Mathematics EventSpeaker: Zhisheng Shuai (UCF, Mathematics Department) Title: Lyapunov Functions in Population Models Abstract: This presentation explores the use of Lyapunov functions in large-scale dynamical systems, with a focus on heterogeneous population models. We discuss recent advancements and ongoing challenges in proving global stability for both disease-free and endemic equilibria in infectious disease models. Of particular interest are recent developments in …
Mathematics Event