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Permanence and periodic solutions in models with stage structure, delay, and pulse action

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Nonlinear Oscillations

We obtain sufficient conditions for the permanence and existence of an asymptotically stable periodic solution for a model of evolution of a biological species with stage structure, delay, and pulse action and for a system of equations with delay and pulse action that models the dynamics of two competitive species with stage structure.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    Yu. M. Myslo & V. I. Tkachenko

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  1. Yu. M. Myslo
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  2. V. I. Tkachenko
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Translated from Neliniini Kolyvannya, Vol. 13, No. 4, pp. 546–555, October–December, 2010.

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Myslo, Y.M., Tkachenko, V.I. Permanence and periodic solutions in models with stage structure, delay, and pulse action. Nonlinear Oscill 13, 584–594 (2011). https://doi.org/10.1007/s11072-011-0133-5

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  • DOI: https://doi.org/10.1007/s11072-011-0133-5

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