Mathematical analysis and control optimization of soluble and insoluble water pollutants dispersion

Abstract

One of the major and abundant environmental elements is water, which life existence on earth is depending on. However, degradation of water quality arising from natural occurrences due to anthropogenic that resulted in eutrophication needs to be guided. Indiscriminate harmful waste discharge and dispersion into the water bodies leads to water pollution. As such, constant management and monitoring of water resources for an enhanced quality and quantity is essential. Therefore, this study employed a coupled derivative mathematical model to investigate soluble and insoluble water pollutants. The insoluble pollutants are converted to soluble pollutants through an applied control or treatment. To optimize the water quality, parametric sensitivities in relation to reproduction number are examined. From the computational analysis carried out, it was revealed that treatment still remains the only remedy for safe water.

Keywords

• Bio-modeling analysis
• Water pollutants
• Optimal control
• Reproduction number
• Stability analysis