Work

Hopf bifurcation and stability analysis for a delayed prey-predator model subject to a strong Allee effect in the prey species

Year: 2025

Type: article

Abstract: This study considers the linear stability of a prey-predator model including time delays under a strong Allee effect among prey species. We drive and analyze the corresponding characteristic transcendental equation, demonstrating the presence of Hopf bifurcation at the positive equilibrium point. We applied normal form approach and center manifold theorem to determine the Hopf bifurcation direction and the stability of the bifurcating periodic solution. A numerical example was ultimately introduced to demonstrate the effectiveness of the theoretical analysis.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101199

Authors: Shaimaa A.A. Ahmed, Waleed A.I. Elmorsi

Institutions: Prince Sattam Bin Abdulaziz University, Mansoura University

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: $1,470

Funders: Prince Sattam bin Abdulaziz University, Deanship of Scientific Research, Prince Sattam bin Abdulaziz University