The main purpose of this paper is to analyze the perturbation system of two-species Lotka-Volterra competition system at the only positive equilibrium point P. Under the condition of P is a positive equilibrium point,we pointed out the perturbation system's stability when the perturbation parameters in different ranges.In reality, a competition system always have some unexpected accidents, resulting in unpredictable consequences. However, we can reduce the loss through analyze the perturbation system ,it has important realistic meaning. |