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Role of competition in phytoplankton population for the occurrence and control of plankton bloom in the presence of environmental fluctuations

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  • Pal, S.
  • Chatterjee, Samrat
  • Das, Krishna pada
  • Chattopadhyay, J.

Abstract

Termination of harmful algal blooms (HABs) and coexistence of phytoplankton–zooplankton populations are of great importance to human health, ecosystem, environment, tourism and fisheries. In this paper, we propose a three component model consisting of non-toxic phytoplankton (NTP), toxin producing phytoplankton (TPP) and zooplankton (Z). The growth of zooplankton species is assume to reduce due to toxic chemicals released by TPP population. We have extended the model proposed by Chattopadhyay et al. [Chattopadhyay, J., Sarkar, R.R., Pal, S., 2004. Mathematical modelling of harmful algal blooms supported by experimental findings. Ecol. Comp. 1, 225–235] by including competition terms between TPP and NTP. We observe the effect of competition factors both in the presence and absence of the environmental fluctuation. From our field as well as model analysis we observe that competition helps in the coexistence of the species, but if the effect of competition is very high on the TPP population, it results in planktonic bloom. It is shown that the coexistence equilibrium loses its stability when the competition coefficient crosses a critical value and resulting Hopf-bifurcation around the positive equilibrium depicting oscillations phenomena of the populations.

Suggested Citation

  • Pal, S. & Chatterjee, Samrat & Das, Krishna pada & Chattopadhyay, J., 2009. "Role of competition in phytoplankton population for the occurrence and control of plankton bloom in the presence of environmental fluctuations," Ecological Modelling, Elsevier, vol. 220(2), pages 96-110.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:2:p:96-110
    DOI: 10.1016/j.ecolmodel.2008.10.001
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    References listed on IDEAS

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    1. Jef Huisman & Franz J. Weissing, 1999. "Biodiversity of plankton by species oscillations and chaos," Nature, Nature, vol. 402(6760), pages 407-410, November.
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    1. Grover, James P. & Roelke, Daniel L. & Brooks, Bryan W., 2012. "Modeling of plankton community dynamics characterized by algal toxicity and allelopathy: A focus on historical Prymnesium parvum blooms in a Texas reservoir," Ecological Modelling, Elsevier, vol. 227(C), pages 147-161.
    2. Animesh Mahata & Sankar Prasad Mondal & Banamali Roy & Shariful Alam, 2021. "Study of two species prey-predator model in imprecise environment with MSY policy under different harvesting scenario," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(10), pages 14908-14932, October.
    3. Zheng, Yanlin & Gong, Xiang & Gao, Huiwang, 2022. "Selective grazing of zooplankton on phytoplankton defines rapid algal succession and blooms in oceans," Ecological Modelling, Elsevier, vol. 468(C).
    4. Raw, Sharada Nandan & Sahu, Sevak Ram, 2023. "Strong stability with impact of maturation delay and diffusion on a toxin producing phytoplankton–zooplankton model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 547-570.
    5. Kejun Zhuang & Gao Jia & Dezhi Liu, 2019. "Stability and Hopf Bifurcation in a Three-Component Planktonic Model with Spatial Diffusion and Time Delay," Complexity, Hindawi, vol. 2019, pages 1-17, July.
    6. Mondal, Chirodeep & Kesh, Dipak & Mukherjee, Debasis, 2023. "Global stability and bifurcation analysis of an infochemical induced three species discrete-time phytoplankton–zooplankton model," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    7. Ghorai, Santu & Poria, Swarup, 2016. "Pattern formation and control of spatiotemporal chaos in a reaction diffusion prey–predator system supplying additional food," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 57-67.

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