Mathematical Study on Prey-Predator Dynamics Under Effect of Water Contamination

Abstract

A significant class of water pollutants emerging as a threat to human and aquaticpopulations is Per-and-polyfluoroalkyl substances (PFAS). The primary concern linked to PFAS is that they exhibit bioaccumulation potential as their perfluorocarbon moieties do not break down or do so very slowly under natural conditions, which is why PFAS has often been termed “forever chemicals.” These chemicals are disposed off in aquatic bodies via improper disposal methods, and because PFAS are persistent, they accumulate or concentrate in the water environment. Subsequently, these chemicals hamper the aquatic population and further enter the human food chain via direct consumption of affected aquatic species and drinking water. In this study, a mathematical model has been developed to understand the alarming consequences of PFAS on human and aquatic populations and the various challenges being faced due to inadequate treatment and management of these chemicals. The model has been analyzed for stability at the equilibrium points. Numerical simulations have also been carried out to support the analytical findings. The analysis demonstrates that rising PFAS contamination is extremely hazardous to both aquatic and human populations and immediate control methods need to be devised to restrain their increasing levels in water.

Keywords

• human population
• aquatic population
• per and poly-fluoroalkyl substance
• mathematical modelling
• stability