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Role of Viral Infection in Controlling Planktonic Blooms-Conclusion Drawn from a Mathematical Model of Phytoplankton-Zooplankton System

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Abstract

Bloom dynamics is an important study in the aquatic system. In the present paper we have considered a phytoplankton-zooplankton system with viral infection in both species. We have observed the stability of different equilibria under some threshold conditions.We have worked out the conditions for the occurrence of Hopf bifurcation. To observe the global behaviour of our model system we have performed extensive numerical simulations. Planktonic bloom oscillations are observed for increasing viral infection in both phytoplankton and zoo-plankton species. It is also observed that planktonic bloom oscillations can be stabilized for increasing density dependent mortality of phytoplankton species. It is concluded that viral infection in both species and density dependent mortality in phytoplankton species may play an important role in controlling planktonic blooms.

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Acknowledgments

The authors are grateful to the reviewers for their helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Mahadevananda Mahavidyalaya, Monirampore, Barrackpore, Kolkata, 700120, India

    Krishna Pada Das & Prodip Roy

  2. Department of Mathematics, Bethune College, Kolkata, 700006, India

    Partha Karmakar

  3. Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India

    Seema Sarkar

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  1. Krishna Pada Das
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Correspondence to Krishna Pada Das.

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Das, K.P., Roy, P., Karmakar, P. et al. Role of Viral Infection in Controlling Planktonic Blooms-Conclusion Drawn from a Mathematical Model of Phytoplankton-Zooplankton System. Differ Equ Dyn Syst 28, 381–400 (2020). https://doi.org/10.1007/s12591-016-0332-8

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