Bifurcation analysis and exploration of noise-induced transitions of a food chain model with Allee effect
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DOI: 10.1016/j.matcom.2024.09.015
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- Zhou, Xueyong & Shi, Xiangyun & Wei, Ming, 2022. "Dynamical behavior and optimal control of a stochastic mathematical model for cholera," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
- Garai, Shilpa & Pati, N.C. & Pal, Nikhil & Layek, G.C., 2022. "Organized periodic structures and coexistence of triple attractors in a predator–prey model with fear and refuge," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
- Sk, Nazmul & Tiwari, Pankaj Kumar & Pal, Samares, 2022. "A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 136-166.
- Mandal, Sayan & Sk, Nazmul & Tiwari, Pankaj Kumar & Chattopadhyay, Joydev, 2024. "Bistability in modified Holling II response model with harvesting and Allee effect: Exploring transitions in a noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
- Bernd Blasius & Lars Rudolf & Guntram Weithoff & Ursula Gaedke & Gregor F. Fussmann, 2020. "Long-term cyclic persistence in an experimental predator–prey system," Nature, Nature, vol. 577(7789), pages 226-230, January.
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Keywords
Three-species food chain model; Refuge; Allee effect; Bi- & tri-stability; Codimension-1 & 2 bifurcations; Noise induced transition;All these keywords.
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