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author:

Hu, X. (Hu, X..) [1] | Li, H. (Li, H..) [2] | Chen, F. (Chen, F..) [3]

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Abstract:

By using model discretization of the piecewise constant argument method, a discrete amensalism model with nonselective harvesting and Allee effect is formulated. The dynamic analysis of the model is studied and the existence and stability of the equilibrium point are discussed. The fold bifurcation and flip bifurcation at the equilibrium point of the system are proved by using the bifurcation theory and the center manifold theorem. In order to control flip bifurcation and restore the system to a stable state, a hybrid control strategy of parameter perturbation and state feedback is adopted. Finally, the effectiveness of the theoretical results and the control strategy is verified by numerical simulations. © 2024 World Scientific Publishing Company.

Keyword:

chaos control flip bifurcation fold bifurcation Stability

Community:

  • [ 1 ] [Hu X.]School of Science, Xi'An Polytechnic University, Xi'an, 710048, China
  • [ 2 ] [Li H.]School of Science, Xi'An Polytechnic University, Xi'an, 710048, China
  • [ 3 ] [Chen F.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China

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Source :

International Journal of Bifurcation and Chaos

ISSN: 0218-1274

Year: 2024

Issue: 2

Volume: 34

1 . 9 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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