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State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate

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  • Zhang, Meng
  • Zhao, Yi
  • Chen, Lansun
  • Li, Zeyu

Abstract

With the development of industry pollution, water bloom caused by nutriment distribution has become a serious problem which has perplexed biologists for a long time. The plankton population increase, which is influenced a lot by nutritional utilization rate, can be expressed best with Q. Cui’s model. The authors carry out a state feedback impulsive model to describe the control of investing fries and harvesting adult fish which is assisted with the plankton population regulation. The existence of order-1 and order-2 periodic solutions are studied, and their stabilities are discussed in addition. In the end, the numerical simulations show some specific cases of periodic solution and their biological meanings are put forward.

Suggested Citation

  • Zhang, Meng & Zhao, Yi & Chen, Lansun & Li, Zeyu, 2020. "State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    • Handle: RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300319309993
    DOI: 10.1016/j.amc.2019.125007
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    References listed on IDEAS

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    1. Guo, Hongjian & Chen, Lansun & Song, Xinyu, 2015. "Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 905-922.
    2. Sun, Mingjing & Liu, Yinli & Liu, Sujuan & Hu, Zuoliang & Chen, Lansun, 2016. "A novel method for analyzing the stability of periodic solution of impulsive state feedback model," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 425-434.
    3. Huyong Yan & Guoyin Wang & Di Wu & Yu Huang & Mingsheng Shang & Jianjun Xu & Kun Shan & Xiaoyu Shi & Jianhua Dong & Lei Feng & Botian Zhou & Ye Yuan & Yufei Zhao, 2017. "Water Bloom Precursor Analysis Based on Two Direction S-Rough Set," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1435-1456, March.
    4. Chunjin Wei & Lansun Chen, 2012. "Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, November.
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    Cited by:

    1. Feng, Likang & Zhang, Weihai & Wu, Zhaojing, 2023. "Noise-to-state stability of random impulsive delay systems with multiple random impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    2. Li, Wenjie & Ji, Jinchen & Huang, Lihong & Zhang, Ying, 2023. "Complex dynamics and impulsive control of a chemostat model under the ratio threshold policy," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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