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Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant

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  • Zhao, Zhong
  • Li, Qiuying
  • Chen, Lansun

Abstract

Modeling the wetland plant–nutrient interaction is significant for elucidating the complex mechanisms of the nutrient absorption. In this paper, the effect of pollutant dispersal and impulsive input on the growth of wetland plant is presented. By using the theory of impulsive differential equations, we obtain that the wetland plant-eradication periodic solution is globally asymptotically stable if some conditions are satisfied. In addition, the permanent conditions are given by means of the comparison theorem of impulsive differential equations. Finally, numerical simulations are given to justify our results.

Suggested Citation

  • Zhao, Zhong & Li, Qiuying & Chen, Lansun, 2018. "Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 152(C), pages 69-80.
    • Handle: RePEc:eee:matcom:v:152:y:2018:i:c:p:69-80
    DOI: 10.1016/j.matcom.2018.04.003
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    References listed on IDEAS

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    1. Jiao, Jianjun & Ye, Kaili & Chen, Lansun, 2011. "Dynamical analysis of a five-dimensioned chemostat model with impulsive diffusion and pulse input environmental toxicant," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 17-27.
    2. Zhao, Zhong & Wu, Xianbin, 2014. "Nonlinear analysis of a delayed stage-structured predator–prey model with impulsive effect and environment pollution," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1262-1268.
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    Cited by:

    1. Marat Akhmet & Madina Tleubergenova & Mehmet Onur Fen & Zakhira Nugayeva, 2020. "Unpredictable Solutions of Linear Impulsive Systems," Mathematics, MDPI, vol. 8(10), pages 1-16, October.

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