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• W1990983212 abstract "One of the mathematically challenging problems in the populationdynamics is finding conditions under which all of the populationscoexist. A mathematical formulation of this notion is the concept ofpermanence, sometimes called also uniform persistence. In thisarticle we give conditions for permanence in nonautonomouscompetitive Kolmogorov systems of reaction-diffusion equations.Those conditions are in a form of inequalities involvingtime-averages of intrinsic growth rates, as well as interactioncoefficients, migration rates and principal eigenvalues. The proofsuse estimates due to R. R. Vance and E. A. Coddington. Connectionswith invasibility via the principal spectrum theory are alsoinvestigated." @default.
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• W1990983212 date "2012-01-01" @default.
• W1990983212 modified "2023-10-18" @default.
• W1990983212 title "Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates" @default.
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• W1990983212 doi "https://doi.org/10.3934/dcdsb.2012.17.1407" @default.
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