On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton I: Existence

We study the positive steady state of a quasi-linear reaction-diffusion system in one space dimension introduced by Klausmeier and Litchman for the modelling of the distributions of phytoplankton biomass and its nutrient. The system has nonlocal dependence on the biomass function, and it has a biomass-dependent drifting term describing the active movement of the biomass towards the location of ...

A Green's function formulation of nonlocal finite-difference schemes for reaction-diffusion equations

Reaction–diffusion equations are commonly used in different science and engineering fields to describe spatial patterns arising from the interaction of chemical or biochemical reactions and diffusive transport mechanisms. The aim of this work is to show that a Green’s function formulation of reaction–diffusion PDEs is a suitable framework to derive FD schemes incorporating both O(h2) accuracy a...

Phytoplankton growth and microzooplankton grazing in the Homa Lagoon (İzmir Bay, Turkey)

 Phytoplankton growth and microzooplankton grazing were investigated at one station in the Homa Lagoon from February to January in 2006-2007. Our results showed significant seasonal variations in phytoplankton dynamics. Microzooplankton was mainly composed of dinoflagellates and tintinnid ciliates and nauplii. Microzooplankton grazing increased with increasing of temperature. Grazing ra...

Single Phytoplankton Species Growth with Light and Advection in a Water Column

We investigate a nonlocal reaction-diffusion-advection equation which models the growth of a single phytoplankton species in a water column where the species depends solely on light for its metabolism. We study the combined effect of death rate, sinking or buoyant coefficient, water column depth and vertical turbulent diffusion rate on the persistence of a single phytoplankton species. Under a ...