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Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control

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  • Jianglin Zhao
  • Yong Yan

Abstract

This paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and the intensity of the impulses. The numerical analysis is performed to study the effect of seasonality and impulsive perturbations on plankton dynamics. The numerical results imply that the seasonal forcing can trigger more periodic mode and the impulsive period for control of the size of phytoplankton is more practicable to the system than the impulsive release of zooplankton. These conclusions provide a better understanding of controlling harmful algae blooms.

Suggested Citation

  • Jianglin Zhao & Yong Yan, 2016. "Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-9, July.
    • Handle: RePEc:hin:jnddns:2560195
    DOI: 10.1155/2016/2560195
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    Cited by:

    1. Gökçe, Aytül, 2021. "A mathematical study for chaotic dynamics of dissolved oxygen- phytoplankton interactions under environmental driving factors and time lag," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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