Interacting Particle Systems with Mobility and Demographic Dynamics as Biological Models

Explore the mathematical modeling of biological systems through interacting particle systems that incorporate both mobility and demographic dynamics in this 43-minute research presentation. Delve into the theoretical framework that combines particle interactions with population-level changes, examining how individual movement patterns and demographic processes such as birth, death, and reproduction rates influence collective biological behaviors. Learn about the mathematical tools and computational methods used to analyze these complex systems, including stochastic processes and spatial dynamics. Discover applications of these models to real biological phenomena such as population dispersal, species migration, ecological competition, and evolutionary dynamics. Understand how mobility patterns affect demographic outcomes and vice versa, providing insights into the interconnected nature of movement and population dynamics in biological systems. Gain knowledge of current research developments in this interdisciplinary field that bridges statistical physics, mathematical biology, and ecology.