Speaker: Zhisheng Shuai (UCF, Mathematics Dept)
Title: Lyapunov Functions for Large-Scale Dynamical Systems
Abstract: This presentation revisits Lyapunov functions and their applications in large-scale dynamical systems, such as heterogeneous population models. We highlight recent advancements and ongoing challenges in establishing the global stability of both disease-free and endemic equilibria in infectious disease models. Noteworthy among recent advancements are work on discrete-time epidemiological models, offering promising insights that may steer future directions.
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