Codimension-one and codimension-two bifurcations of a discrete predator–prey system with strong Allee effect
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DOI: 10.1016/j.matcom.2019.01.006
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References listed on IDEAS
- Xie, Xiaoli & Zhang, Chunhua & Chen, Xiaoxing & Chen, Jiangyong, 2015. "Almost periodic sequence solution of a discrete Hassell–Varley predator-prey system with feedback control," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 35-51.
- Zhang, Limin & Zhang, Chaofeng & Zhao, Min, 2014. "Dynamic complexities in a discrete predator–prey system with lower critical point for the prey," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 119-131.
- Salman, S.M. & Yousef, A.M. & Elsadany, A.A., 2016. "Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 20-31.
- Dhar, Joydip & Singh, Harkaran & Bhatti, Harbax Singh, 2015. "Discrete-time dynamics of a system with crowding effect and predator partially dependent on prey," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 324-335.
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Cited by:
- Mohammed O. Al-Kaff & Ghada AlNemer & Hamdy A. El-Metwally & Abd-Elalim A. Elsadany & Elmetwally M. Elabbasy, 2024. "Dynamic Behavior and Bifurcation Analysis of a Modified Reduced Lorenz Model," Mathematics, MDPI, vol. 12(9), pages 1-20, April.
- Zhang, Limin & Wang, Tao, 2023. "Qualitative properties, bifurcations and chaos of a discrete predator–prey system with weak Allee effect on the predator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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Keywords
Discrete predator–prey system; Transcritical bifurcation; Flip bifurcation; 1:2 strong resonance;All these keywords.
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