A study of plankton bloom in a phytoplankton-zooplankton model with viral infection

Authors

  • Krishna pada Das Mahadevananda Mahavidyalaya Department Of Mathematics Monirampore P.O.-Barrackpore Kol-120
  • Abhishek Sarkar Department of Applied Sciences and Humanities,\\Shaheed Bhagad Singh State University, Ferozpur, Punjab, Iindia
  • Seema Sarkar Department of Mathematic, NIT Durgapur, India
  • Vikash Gupta Department of Mathematics, LNM Institute of Technology, \\Jaipur, Rajasthan, India
  • Gauri Shankar Paliwal Department of Mathematics, JECRC University, Jaipur,\\ Rajasthan, India.
  • Ilyas Khan Department of Mathematics, College of Science Al-Zulfi, \\Majmaah University, Al-Majmaah, Saudi Arabia
  • Subrata Jana Department of Mathematics, Jadavpur University, Kolkata,\\ West Bengal, India
  • Ram Kishore Department of Mathematics,Central University of Rajasthan, \\Ajmer, Rajasthan, India

Abstract

 

The present paper explores a four-dimensional mathematical model with viral infection of plankton bloom in a phytoplankton-zooplankton, Mathematical modeling on plankton dynamics is a great interest in researchers. Here we discuss the mass action law for nutrient. We also discuss the existence and local stability of equilibrium points. To investigate the biological implication of threshold parameters and community structure. We analysis the local stability of interior equilibrium point and hopf-bifurcation. Also discuss the Permanence of the system for future time. In this paper we observed that stable distribution, periodic oscillation and periodic solution.

Author Biography

  • Abhishek Sarkar, Department of Applied Sciences and Humanities,\\Shaheed Bhagad Singh State University, Ferozpur, Punjab, Iindia

     

    The present paper explores a four-dimensional mathematical model
    with viral infection of plankton bloom in a phytoplankton-zooplankton,
    Mathematical modeling on plankton dynamics is a great interest in
    researchers. Here we discuss the mass action law for nutrient. We
    also discuss the existence and local stability of equilibrium points.
    To investigate the biological implication of threshold parameters and
    community structure. We analysis the local stability of interior equi-
    librium point and hopf-bifurcation. Also discuss the Permanence of
    the system for future time. In this paper we observed that stable
    distribution, periodic oscillation and periodic solution.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 Krishna pada Das, Abhishek Sarkar, Seema Sarkar, Vikash Gupta, Gauri Shankar Paliwal, Ilyas Khan, Subrata Jana, Ram Kishore

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A study of plankton bloom in a phytoplankton-zooplankton model with viral infection. (2024). Nonlinear Studies, 31(4), 1291-1307. https://nonlinearstudies.com/index.php/nonlinear/article/view/3187