Roll of viral infection in a nutrient-phytoplankton-zooplankton mathematical model

Authors

  • Krishna pada Das Mahadevananda Mahavidyalaya Department Of Mathematics Monirampore P.O.-Barrackpore Kol-120
  • Abhishek Sarkar Department of Mathematics, Mahadevananda Mahavidyalaya,\\Barrackpore,kol-120, Indian
  • Seema Sarkar Department of Mathematic, NIT Durgapur, India
  • Partha Karmakar $WBES deputy secretary west bengal board of primary education,\\ Saltlake City, Kol-70009
  • Gaurishankar Paliwa $Department of Mathematics, JECRC university, Jaipur, India
  • Rakesh Kumar $Department of Mathematics, SBSSU, Ferozpur, punjab, India
  • Kulbhushan Agnihotr Department of Mathematics, SBSSU, Ferozpur, Punjab, India
  • Sanat Kumar Mahata Department of mathematics, Sidhu kanhu University, Purulia, India

Abstract

The present paper explores a four-dimensional nutrient phytoplankton- zooplankton mathematical model in presence of viral infection, Mathematical modeling on plankton dynamics is a great interest in re- searchers. Here we discuss the mass action law for nutrient. We find the existence and local stability of equilibrium points. We also derived the Biological implication of threshold parameters and com- munity structure. To investigate the local stability of interior equilibrium point and Hopf-Bifurcation. Also discuss the Permanence of the system for future time. Viral infection has a great impact upon the plankton dynamics. In this system we observed that Oscillation, limit cyclic, periodic solution in 2D plane.

Downloads

Published

2024-08-29

Issue

Vol. 31 No. 3 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 Krishna pada Das, Abhishek Sarkar, Seema Sarkar, Partha Karmakar, Gaurishankar Paliwa, Rakesh Kumar, Kulbhushan Agnihotr, Sanat Kumar Mahata

Creative Commons License

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

How to Cite

Roll of viral infection in a nutrient-phytoplankton-zooplankton mathematical model. (2024). Nonlinear Studies, 31(3), 715-734. https://nonlinearstudies.com/index.php/nonlinear/article/view/3184