A, Different Consideraton about the Globally Asymptotically Stable Solution of the Periodic n-Competing Species Problem*

Abstract We consider the Volterra-Lotka equations for n -competing species ( n ⩾ 2) in which the right-hand sides are periodic in time. We show that conditions given by K. Gopalsamy ( J. Austral. Math. Soc. Ser. B 27 , 1985, 66–72), which imply the existence of a periodic solution with positive components, also imply the uniqueness and asymptotic stability of the solution.

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