Objective     To explore a new bio-dynamic differential equation to establish gene regulatory network based on the time-space of gene expression.      Methods     According to bio-dynamic competitive model and differential equation

a new time-space Lotka-Volterra differential equation was established and was applied to time-order expression data.      Results     The model was applied to set up the regulation network of yeast genes. The regulatory relation was found and compared with the experiment results.      Conclusion     The results from the new model were almost consistent with the real situation. So this model can remedy the shortage of other models. It’s a new valuable differential equation model.