Work

Local Bifurcation and Global Stability of an Eco‐Epidemiological Model Incorporating Fear Effect and Prey Harvesting

Year: 2025

Type: article

Abstract: In ecological point of view, fears from predator may reduce the reproduction of prey and harvesting and intraspecific competition among predators, may changes the behavior of dynamical interaction between predator and their prey. In this paper, a Holling Type II prey–predator model with SI ‐type of disease in prey has been modified and analyzed. Firstly, some properties like positivity and boundedness of the solutions of the model are proved and then the criterion that makes the model equilibrium points persist is determined. The criterion for locally as well as globally asymptotically stable of the each model is investigated. The application of the hypothesis of the Sotomayor theorem for local bifurcation near the equilibrium points is adopted. Finally, further investigations for the global dynamics and confirmation the analytical results of the system are carried out with the help of numerical simulations. It is observed that both fear and harvesting rate may cause extinction in the predator.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/ijmm/6662455

Authors: Sozan Fuad Aziz, Hanaa Jamal Ahmed, Saiwan Majeed Fatah, Arkan Nawzad Mustafa

Institution: University of Sulaimani

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $1,240

OpenAlex ID: W4410565144

FWCI: 1.699

Cites: 16

Cited by: 2

Related to: 10