Stability Analysis of A stage Structure Prey-Predator Model with Hollimg Type IV Functional Response

Authors

  • Raid Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq. https://orcid.org/0000-0003-1063-9775
  • Rehab Shalan Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

Keywords:

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

Abstract

In this paper a stage structure prey-predator model with Hollimg type IV functional response is proposed and analyzed. The local stability analysis of the system is carried out. The occurrence of a simple Hopf bifurcation and local bifurcation are investigated. The global dynamics of the system is investigated with the help of the Lyapunov function. Finally, the analytical obtained results are supported with numerical simulation and the effects of parameters system are discussed. It is observed that, the system has either stable point or periodic dynamics.

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Published

2024-02-13

Issue

Section

Mathematics

How to Cite

Stability Analysis of A stage Structure Prey-Predator Model with Hollimg Type IV Functional Response. (2024). Iraqi Journal of Science, 54(Mathematics conf), 801-812. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12461

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