Dynamics of a diffusive nutrient phytoplankton-zooplankton model with spatio-temporal delay
Speaker:
Sue Ann Campbell, University of Waterloo
Date and Time:
Wednesday, August 16, 2023 - 2:00pm to 2:40pm
Location:
Fields Institute, Room 230
Abstract:
We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We formulate stability conditions for the equilibria for a general distribution of delays and analyze the Hopf bifurcations for a specific delay kernel. We show that diffusion predominantly has a stabilizing effect; however, if sufficient nutrient is present, complex spatio-temporal dynamics, both transient and long lasting may occur.