The Influence of Fear on the Dynamics of Harvested Prey-Predator Model with Intra-Specific Competition

Hiba Abdullah  Ibrahim; Rehab Noori  Shalan; Dina  Aljaf

doi:10.24996/ijs.2025.66.4.23

Authors

Hiba Abdullah Ibrahim Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-2494-8416
Rehab Noori Shalan Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Dina Aljaf Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.4.23

Keywords:

Fear effect, Holling type IV functional response, Intra-specific competition, Stability analysis, Persistence

Abstract

The influence of fear on the dynamics of harvested prey-predator model with intra-specific competition is suggested and studied, where the fear effect from the predation causes decreases of growth rate of prey. We suppose that the predator attacks the prey under the Holling type IV functional response. he existence of the solution is investigated and the bounded-ness of the solution is studied too. In addition, the dynamical behavior of the system is established locally and globally. Furthermore, the persistence conditions are investigated. Finally, numerical analysis of the system is carried out.