Special Session 138: Differential Equations and Applications to Biology

Dynamics of Consumer Resource Systems
Rui Li
Shenzhen Technology University
Peoples Rep of China
Co-Author(s):    Rui Li
Abstract:
Consumer--resource models provide a framework for describing interacting populations mediated by shared resources and have been widely used to study the dynamics of complex biological systems. In this work, we examine consumer--resource systems from a dynamical perspective. Starting from simple model settings, we extend the analysis to broader regimes and investigate how structural constraints shape system behavior. Alongside the theoretical analysis, we discuss how these models connect to concrete biological contexts, including ecological and microbial systems. This combination of analytical results and applications provides a unified perspective on consumer--resource dynamics and offers insight into the mechanisms underlying complex biological processes.