Research on Analytical Solution of Stochastic Water Eutrophication Model

Based on the Vollenweider model, a stochastic water eutrophication model is built. The changing process of total phosphorus concentration is regarded as a random process in the model. If the random properties of initial conditions are obtained, the analytical solution as well as the numerical solution can be found. Therefore, the model provides the random properties of total phosphorus concentration, such as the mean value and variance. The model is calibrated using the results of a monitoring program in Geheyan Reservoir.