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Existence-uniqueness and monotone approximation for a phytoplankton-zooplankton aggregation model

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Abstract.

In this paper, we study a model that describes the dynamics of phytoplankton and zooplankton prey-predator system within the context of phytoplankton aggregation. Existence-uniqueness results of the solution are established via a comparison principle and the upper-lower solution technique.

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Authors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504, USA

    Azmy S. Ackleh & Keng Deng

  2. Division of Natural Sciences and Mathematics, Macon State College, Macon, GA, 31206, USA

    Xubo Wang

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  1. Azmy S. Ackleh
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  2. Keng Deng
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  3. Xubo Wang
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(Received: December 12, 2004)

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Ackleh, A.S., Deng, K. & Wang, X. Existence-uniqueness and monotone approximation for a phytoplankton-zooplankton aggregation model. Z. angew. Math. Phys. 57, 733–749 (2006). https://doi.org/10.1007/s00033-005-0050-5

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  • DOI: https://doi.org/10.1007/s00033-005-0050-5

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