Total nitrogen transformation dynamics with deterministic and stochastic yield coefficients

Abstract

Nitrogen component is usually found in the wastewater and too much nitrogen will cause difficulties in managing the wastewater becoming a source of water for consumption. A natural way to reduce nitrogen in the wastewater is by planting, for example, mangroves. In this paper, we consider a dynamical system of total nitrogen transformation in a constructed wetland that has mangroves. The system has three compartments: the concentration of mangrove biomass, the concentration of total nitrogen in the wastewater, and the soil solution. In the system, there is a yield coefficient that measures how many nutrients the mangroves consume about how much biomass they produce. We study the system with deterministic linear yield and stochastic yield. For the deterministic system, we analyze the stability of the equilibria, perform some simulations to depict the phase portrait and the numerical solutions, and provide a sensitivity analysis of the yield coefficient. For the stochastic system, we present some numerical simulations of the solutions.