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We consider the model in nondimensional form as following,which is concerned in [1] =x(1-x)-p(x)y+b∫+∞0f(s)y(t-s) d s=y(δ-β(y)/(x))x(0)＞0,y(0)＞0 We apply a novel method for proving the global stability.Let X→f(X)∈Rn be a C1 function for X in an open set D