Mathematical Modeling Applied to Study the Effects of Wastage Produced from the Coal-Based Power Plant on Marine Ecosystem.

Mathematical Modeling in terms of a system of ordinary differential equations has been used to study the effects of wastage produced from coal based power plant on marine ecosystem. It is considered that a coal based power plant is one of the main sources of the emission of carbon dioxide, which is the principal reasonable agent for water pollution and thus poses a great threat to the marine ecosystem near those power stations. Since a huge amount of harmful gasses and chemical wastages emitted from any coal based power plant which is the most dangerous threat to the marine resources and ecosystem. A 1000 MW coal-based power plant uses 9000 tons of coal per day, which produces a large amount of wastage and these wastages are mixed up with water and water is getting more polluted day by day. Actually coal- based power plant produces a huge amount of Lead (Pb), Mercury (Hg), Cadmium (Cd), Particulate Matter, Organic Compounds, etc. and it is mixed up with water in many ways and thus hampered the marine ecosystem. For studying the effects of wastage produced from the coal-based power plant on the marine ecosystem we've proposed a non-linear mathematical model using a system of three nonlinear differential equations. The model has been analyzed in order to describe the dynamics of emission and concentration of wastage from coal based power plant. The analysis carried out with the equilibrium and stability of the model. Boundedness of the solution of the model is discussed. The model has been analyzed by finding the existence of equilibrium points and also the conditions of stability and instability of the system have been derived. Finally, the reliability of the analytical model was confirmed with the numerical simulations. [ABSTRACT FROM AUTHOR]