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The Dynamics of a Diffusive Nutrient-Algae Model Based upon the Sanyang Wetland

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  • Yi Wang
  • Min Zhao
  • Chuanjun Dai
  • Yunli Deng

Abstract

The stability and spatiotemporal dynamics of a diffusive nutrient-algae model are investigated mathematically and numerically. Mathematical theoretical studies have considered the positivity and boundedness of the solution and the existence, local stability, and global stability of equilibria. Turing instability has also been studied. Furthermore, a series of numerical simulations was performed and a complex Turing pattern found. These results indicate that the nutrient input rate has an important influence on the density and spatial distribution of algae populations. This may help us to obtain a better understanding of the interactions of nutrient and algae and to investigate plankton dynamics in aquatic ecosystems.

Suggested Citation

  • Yi Wang & Min Zhao & Chuanjun Dai & Yunli Deng, 2015. "The Dynamics of a Diffusive Nutrient-Algae Model Based upon the Sanyang Wetland," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:251937
    DOI: 10.1155/2015/251937
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    Cited by:

    1. Kumari, Sarita & Tiwari, Satish Kumar & Upadhyay, Ranjit Kumar, 2022. "Cross diffusion induced spatiotemporal pattern in diffusive nutrient–plankton model with nutrient recycling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 246-272.

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