THE EUTROPHICATION PROCESS AND ITS EFFECTS ON THE AQUATIC POPULATION - A MATHEMATICAL MODEL
It is largely observed that the growth of algae from industrial waste disposal and chemical runoff from farming fields causes eutrophication of aquatic systems. This process results in an increase of algal blooms and algae. This lowers the water's traceability and the level of dissolved oxygen. The growth of large portion of the aquatic species, including fish, is negatively impacted by an oxygen shortage and a decrease of opacity. With this in view a study is carried out on eutrophication affecting the aquatic species. In this paper, a research investigation on impact of eutrophication process on aquatic species' survival in the water has been developed as a mathematical model based on non-linear ordinary differential equations. The model includes nutrient concentration, growth rate of algae, dissolved oxygen, detritus, and fish population. In order to analyze the formulated model, three equilibrium points were considered to analyze the local stability. The first and second equilibrium points, E1 and E2 respectively show unstable state, whereas third equilibrium point E3 is nontrivial and locally asymptotically stable. Finally the numerical simulation is performed to see the rate of nutrient input affecting different variables that are part of the proposed model.
Eutrophication, Discharge of Nutrients, Growth Rate of Algae, Dissolved Oxygen, Detritus Concentration