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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 9

Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect

R. Ahmed, S. Akhtar, U. Farooq, S. Ali

PDF (734.4 KB) https://doi.org/10.28919/cmbn/7824

Abstract

The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically.

Published
23 January 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 R. Ahmed, S. Akhtar, U. Farooq, S. Ali. 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

R. Ahmed, S. Akhtar, U. Farooq, S. Ali, Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect, Commun. Math. Biol. Neurosci. 2023 (2023), 9. https://doi.org/10.28919/cmbn/7824

BibTeX
@article{Ahmed2023,
  author  = {Ahmed, R. and Akhtar, S. and Farooq, U. and Ali, S.},
  title   = {Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {9},
  doi     = {10.28919/cmbn/7824}
}