Modeling the depletion of dissolved oxygen in a water body located near a city. (23rd June 2016)

• Record Type: Journal Article
• Authors: Venturino, Ezio; Tiwari, P.K.; Misra, A.K.
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 4(2017)
• Page Start: 1081
• Page End: 1094
• Publication Date: 2016-06-23
• Subjects: Mathematical model -- human population -- industries -- organic pollutants -- dissolved oxygen; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4037
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Water bodies located nearby cities are much prone to pollution, especially in the developing countries, where effluents treatment facilities are generally lacking. The main reason for this phenomenon is the increasing population in the cities, and the large number of industries located near them. This leads to generation of huge amounts of domestic and industrial sewage that is discharged into the water bodies, increasing their organic pollutant load and resulting in the depletion of dissolved oxygen. In this paper, we propose a mathematical model for this situation, focusing especially on the resulting quality of the water, determined by the level of dissolved oxygen. The model also accounts for resources needed for the population survival and for the industrial operations. In addition, we describe also the decomposition of organic pollutants by bacteria in the aquatic medium. Feasibility conditions and stability criteria of the system's equilibria are determined analytically. The results show that human population and industries are relevant influential factors responsible for the increase in organic pollutants and the decrease in dissolved oxygen in the water body, in the sense that they may exert a destabilizing effect on the system. The numerical simulations confirm the analytical results. Copyright © 2016 John Wiley & Sons, Ltd.