The dynamics of two harmful phytoplankton and herbivorous zooplankton system

Authors

  • Raid Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.
  • Asraa Aaid Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

Keywords:

phytoplankton-zooplankton,, stability,, local bifurcation, , Hopf bifurcation

Abstract

In this paper, a mathematical model consisting of the two harmful
phytoplankton interacting with a herbivorous zooplankton is proposed and studied.
The existence of all possible equilibrium points is carried out. The dynamical
behaviors of the model system around biologically feasible equilibrium points are
studied. Suitable Lyapunov functions are used to construct the basins of attractions
of those points. Conditions for which the proposed model persists are established.
The occurrence of local bifurcation and a Hopf bifurcation are investigated. Finally,
to confirm our obtained analytical results and specify the vital parameters, numerical
simulations are used for a hypothetical set of parameter values.

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Published

2023-12-30

Issue

Section

Mathematics

How to Cite

The dynamics of two harmful phytoplankton and herbivorous zooplankton system. (2023). Iraqi Journal of Science, 54(3), 676-695. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12173

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