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Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System

Author

Listed:
  • Hengguo Yu
  • Min Zhao
  • Qi Wang

Abstract

Eutrophication removal problems have captured the attention of biologists, mathematicians, and environmental scientists. Within this framework, an impulsive eutrophication controlling system is studied analytically and numerically. A key advantage of the eutrophication system is that it can be quite accurate to describe the interaction effect of some critical factors (fishermen catch and releasing small fry, etc.), which enables a systematic and logical procedure for fitting eutrophication mathematical system to real monitoring data and experiment data. Mathematical theoretical works have been pursuing the investigation of two threshold functions of some critical parameters under the condition of all species persistence, which can in turn provide a theoretical basis for the numerical simulation. Using numerical simulation works, we mainly focus on how to choose the best value of some critical parameters to ensure the sustainability of the eutrophication system so that the eutrophication removal process can be well developed with maximizing economic benefit. These results may be further extended to provide a basis for simulating the algal bloom in the laboratory and understanding the application of some impulsive controlling models about eutrophication removal problems.

Suggested Citation

  • Hengguo Yu & Min Zhao & Qi Wang, 2013. "Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:726172
    DOI: 10.1155/2013/726172
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    References listed on IDEAS

    as
    1. Xiaoming Fan & Zhigang Wang & Fuquan Jiang, 2012. "Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-33, July.
    2. Gang Yu & Hongying Lu, 2012. "Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-31, November.
    3. Yali Shen & Fengqin Zhang & Kai Wang, 2012. "Permanence of a Single Species System with Distributed Time Delay and Feedback Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Gang Yu & Hongying Lu, 2012. "Permanence and Almost Periodic Solutions of a Discrete Ratio‐Dependent Leslie System with Time Delays and Feedback Controls," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Yali Shen & Fengqin Zhang & Kai Wang, 2012. "Permanence of a Single Species System with Distributed Time Delay and Feedback Control," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, June.
    6. Perhar, Gurbir & Arhonditsis, George B. & Brett, Michael T., 2013. "Modeling zooplankton growth in Lake Washington: A mechanistic approach to physiology in a eutrophication model," Ecological Modelling, Elsevier, vol. 258(C), pages 101-121.
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