The Dynamics of Holling Type IV Prey Predator Model with Intra- Specific Competition

Authors

  • Raid Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq.
  • Rehab Shalan Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq.

Keywords:

Holling type IV functional response, equilibrium points, , stability and Hopf bifurcation

Abstract

In this paper a prey-predator model involving Holling type IV functional response
and intra-specific competition is proposed and analyzed. The local stability analysis of
the system is carried out. The occurrence of a simple Hopf bifurcation is investigated.
The global dynamics of the system is investigated with the help of the Lyapunov
function and poincare-bendixson theorem. Finally, the numerical simulation is used to
study the global dynamical behavior of the system. It is observed that, the system has
either stable point or periodic dynamics.

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Published

2024-01-26

Issue

Section

Mathematics

How to Cite

The Dynamics of Holling Type IV Prey Predator Model with Intra- Specific Competition. (2024). Iraqi Journal of Science, 54(2), 386-396. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12309

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