A non-linear ecological phosphorus cycling model and the effects of sediments

Assuming that the lake is P-limited and the effects of sediments are ignorable, the paper proposes a one-dimensional non-linear single-box phosphorus cycling model for the interactions among particulate phosphorus, dissolved reactive phosphorus and P in the alga. For the sake of practical interests, considering that the concentrations of three types of phosphorus may be largely affected by the sediments, numerical simulations are carried out with the inclusions of the sediments effects, which is expressed as the fluctuation of the disturbing conditions in the model. The present research may not only theoretically highlight the dynamic mechanisms of phosphorus cycle but also shed new lights on industrial applications to prevent eutrophication.