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A Plankton-Nutrient Model with Holling Type III Response Function

In: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Author

Listed:
  • Anal Chatterjee

    (University of Kalyani, Department of Mathematics)

  • Samares Pal

    (University of Kalyani, Department of Mathematics)

  • Ezio Venturino

    (Università di Torino, Dipartimento di Matematica “Giuseppe Peano”)

Abstract

A plankton model including the latest mathematical features introduced in a very recent specialistic contribution showing the emergence of the Holling type III response function is here formulated and developed in its deterministic and stochastic counterparts. The effects of additional food source and harvesting rate of zooplankton are analyzed. The results indicate that if the intensity of environmental fluctuation is kept under a certain threshold value, the control procedure proposed in the deterministic case is also valid in the presence of environmental disturbances.

Suggested Citation

  • Anal Chatterjee & Samares Pal & Ezio Venturino, 2018. "A Plankton-Nutrient Model with Holling Type III Response Function," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling, Optimization and Computational Problems, pages 167-188, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-91092-5_12
    DOI: 10.1007/978-3-319-91092-5_12
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