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A Periodic Droop Model for Two Species Competition in A Chemostat

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Abstract

Both uniform persistence and the existence of periodic coexistence state are established for a periodically forced Droop model on two phytoplankton species competition in a chemostat under some appropriate conditions. Numerical simulations using biological data are presented as well to illustrate the main result.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL, A1C 5S7, Canada

    Michael C. White & Xiao-Qiang Zhao

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  1. Michael C. White
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  2. Xiao-Qiang Zhao
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Correspondence to Michael C. White.

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Research supported in part by the NSERC of Canada and the MITACS of Canada.

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White, M.C., Zhao, XQ. A Periodic Droop Model for Two Species Competition in A Chemostat. Bull. Math. Biol. 71, 145–161 (2009). https://doi.org/10.1007/s11538-008-9357-7

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  • DOI: https://doi.org/10.1007/s11538-008-9357-7

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