Mathematical Modeling of the Effect of Pollutant-Affected Resource Biomass on Biological Species

Abstract

Pollutants and toxicants are released into the environment as a result of numerous industrial and other human activities. These dangerous discharges affect the resource biomass which eventually affects the biological species. In this paper, we have proposed and analyzed a non-linear mathematical model to study the effect of pollutant-affected resource biomass on biological species. Five dependent variables have been considered in the modelling process. The model has been analyzed analytically through equilibrium and stability analysis. It has been found that the environmental tax imposed on the polluters proves as an important measure to maintain the resource dependent biological species at a desirable level. Numerical simulation is also done to illustrate the analytical findings.