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  Citation Number 1
 Views 17
 Downloands 5
Analyzing bifurcation, stability, and chaos control for a discrete-time prey-predator model with Allee effect
2022
Journal:  
Turkish Journal of Mathematics
Author:  
Abstract:

In this paper, the qualitative behavior of a discrete-time prey-predator model with Allee effect in prey population is discussed. Firstly, the existence of the fixed points and their topological classification are analyzed algebraically. Then, the conditions of existence for both period-doubling and Neimark--Sacker bifurcations arising from coexistence fixed point with the help of the center manifold theorem and bifurcation theory are investigated. OGY feedback control method is implemented to control chaos in the proposed model due to the emergence of bifurcations. Finally, numerical simulations are performed to support the theoretical findings.

Keywords:

2022
Author:  
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Similar Articles






Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 710
2023 Impact : 0.039
Turkish Journal of Mathematics