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Commun. Math. Biol. Neurosci. 2026 (2026), Article ID 86

The dynamics of prey-predator model with disease in predator involving Allee effect and migration

Hiba Abdullah Ibrahim, Huda Abdul Satar

Abstract

The main objective of this paper is to study the dynamical behavior of an eco-epidemiological system involving strong Allee effect and migration in the predator-prey model with the disease in the predator population. The total predator population is divided into two compartments, namely the susceptible predatory population and the infected predator population. The uniform boundedness of the dynamical system is discussed. The stability of the equilibrium points is analyzed. The occurrence of local bifurcation around the equilibrium points is investigated. To verify our analytical findings, numerical simulations are carried out using MATLAB (R2018b) Software.

Published
28 September 2026
Volume
2026 (2026)
License
CC BY 3.0

Copyright © 2026 Hiba Abdullah Ibrahim, Huda Abdul Satar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

H. A. Ibrahim, H. Abdul Satar, The dynamics of prey-predator model with disease in predator involving Allee effect and migration, Commun. Math. Biol. Neurosci. 2026 (2026), 86. https://doi.org/10.28919/cmbn/10153

BibTeX
@article{Ibrahim2026,
  author  = {Ibrahim, Hiba Abdullah and Abdul Satar, Huda},
  title   = {The dynamics of prey-predator model with disease in predator involving Allee effect and migration},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2026},
  year    = {2026},
  pages   = {86},
  doi     = {10.28919/cmbn/10153}
}