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Global stability in a competition model of plankton allelopathy with infinite delay

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Abstract

A competition model of plankton allelopathy with infinite delay is considered in this paper. By using an iterative method, the global stability of the interior equilibrium point of the system is investigated. The result shows that for this system, delay and toxic substances are harmless for the stability of the interior equilibrium point.

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Authors and Affiliations

  1. Department of Mathematics, Ningde Teachers College, Ningde, 352100, China

    Fengde Chen & Xiangdong Xie

  2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China

    Haina Wang

Authors
  1. Fengde Chen
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  2. Xiangdong Xie
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  3. Haina Wang
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Corresponding author

Correspondence to Fengde Chen.

Additional information

This research was supported by the Natural Science Foundation of Fujian Province under Grant Nos. 2015J01012 and 2015J01019.

This paper was recommended for publication by Editor FENG Dexing.

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Chen, F., Xie, X. & Wang, H. Global stability in a competition model of plankton allelopathy with infinite delay. J Syst Sci Complex 28, 1070–1079 (2015). https://doi.org/10.1007/s11424-015-3125-1

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  • DOI: https://doi.org/10.1007/s11424-015-3125-1

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