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Permanence and Positive Periodic Solutions for Kolmogorov Competing Species Systems

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Abstract

We prove the existence of periodic solutions in a compact attractor of (R+)n for the Kolmogorov system x′i = xifi(t, x1, …, xn), i = l, …, n in the competitive case. Extension to differential delay equations are con- sidered too. Applications are given to Lotka-Volterra systems with periodic coefficients.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Udine, v. Zanon 6, 33100, Udine, Italy

    Fabio Zanolin

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  1. Fabio Zanolin
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Dedicated to Professor H. W. Knobloch on the occasion of his 65th birhtday

Work performed under the auspices of GNAFA-CNR and supported by a grant 60% MURST-1991

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Zanolin, F. Permanence and Positive Periodic Solutions for Kolmogorov Competing Species Systems. Results. Math. 21, 224–250 (1992). https://doi.org/10.1007/BF03323081

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