Threshold dynamics of a periodic stoichiometric model

In this paper, we investigate a general time-periodic stoichiometric ODE model, which describes the algal growth. The model system has singularities induced by zero nitrogen concentration. We first observe that there exists threshold value $ \lambda_0 $, is exactly principal eigenvalue of nonlinear problem associated with homogeneous degree one system, and further show global dynamics in terms $. particular, obtain uniqueness positive periodic solution when \lambda_0>0 Finally, carry out simulations to illustrate analytic results.