The Dynamics of One Harmful Phytoplankton and Two Competing 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,

Abstract

In this paper, a mathematical model consisting of harmful phytoplankton and two competing 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

2024-02-13

Issue

Section

Mathematics

How to Cite

The Dynamics of One Harmful Phytoplankton and Two Competing Zooplankton System. (2024). Iraqi Journal of Science, 54(Mathematics conf), 775-792. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12459

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