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Updated: Apr 27, 2026

A Simple Approach to Manipulate Dissolved Oxygen for Animal Behavior Observations
Published on: June 28, 2016
Mathematical modeling of dissolved oxygen and its effects on various living pollutants in water bodies
Zahangir Alam1, Masudar Rahman1, Motiur Rahman2
1Department of Mathematics, Bangladesh Army University of Engineering & Technology, Natore, Bangladesh.
Abstract:
Dissolved oxygen concentration is a crucial factor that regulates ocean productivity, nutrient cycles, and the health of marine habitats. In this study, an eight-compartment nonlinear mathematical model is proposed to determine the effect of various living pollutants, such as the density of bacteria, nutrients, temperature, algae, detritus, and salinity by dissolved oxygen in water bodies. By solving the model equations both analytically and numerically, the equilibrium states are identified, and their existence and stability are determined for each equilibrium point. In addition, to elucidate the system's behavior and determine the most sensitive parameters, we conduct a bifurcation and partial rank correlation coefficient (PRCC) analysis. Among all eight compartments evaluated, the results show that the profiles of dissolved oxygen and nutrient are much higher compared to others compartment and some compartments are validated by other studies. The study concludes that there is a strong relationship between dissolved oxygen level and nutrients in the water body and the optimization of plankton nutrient availability.
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