Скачать или смотреть MCRN Colloquium with Seth Cowall, Sept 3, 2025

September 3rd:
Professor Seth Cowall
Title: Dynamical Storage Analysis: A Computational Approach to Continuous Systems

Abstract:
Ecosystems are often modeled as compartment models where matter or energy flows between compartments. It is useful to know how much matter or energy is eventually stored in compartment x_j resulting from an instantaneous input into compartment x_i. One can think of storage as the amount of material that resides in a compartment for a long (perhaps infinite) amount of time. This question has been addressed by partitioning a system of linear ordinary differential equations into subcompartments and constructing a “dynamical storage matrix” S from the steady-state solution. However, this technique can only be applied to models at constant steady state. The case of nonlinear systems have been addressed with agent-based models. In this talk, we introduce a novel method of partitioning a nonlinear ecosystem model so that its dynamical storage matrix can be computed from the solution of nonlinear ordinary differential equations.