Bifurcations and multistability in a food chain model with nanoparticles
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DOI: 10.1016/j.matcom.2021.06.017
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- Pati, N.C. & Layek, G.C. & Pal, Nikhil, 2020. "Bifurcations and organized structures in a predator-prey model with hunting cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Panja, Prabir & Mondal, Shyamal Kumar & Jana, Dipak Kumar, 2017. "Effects of toxicants on Phytoplankton-Zooplankton-Fish dynamics and harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 389-399.
- Pal, Nikhil & Samanta, Sudip & Chattopadhyay, Joydev, 2014. "Revisited Hastings and Powell model with omnivory and predator switching," Chaos, Solitons & Fractals, Elsevier, vol. 66(C), pages 58-73.
- Andrew D. Maynard & Robert J. Aitken & Tilman Butz & Vicki Colvin & Ken Donaldson & Günter Oberdörster & Martin A. Philbert & John Ryan & Anthony Seaton & Vicki Stone & Sally S. Tinkle & Lang Tran & N, 2006. "Safe handling of nanotechnology," Nature, Nature, vol. 444(7117), pages 267-269, November.
- Sahoo, Banshidhar & Poria, Swarup, 2014. "The chaos and control of a food chain model supplying additional food to top-predator," Chaos, Solitons & Fractals, Elsevier, vol. 58(C), pages 52-64.
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- Rashi, & Singh, Harendra Pal & Singh, Suruchi, 2024. "Effect of fear with saturated fear cost and harvesting on aquatic food chain model (plankton–fish model) in the presence of nanoparticles," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 283-305.
- 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).
- Hossain, Mainul & Kumbhakar, Ruma & Pal, Nikhil, 2022. "Dynamics in the biparametric spaces of a three-species food chain model with vigilance," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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Keywords
Food chain model; Nanoparticles; Multistability; Bi-parameter space; Period-bubbling; Lyapunov exponent;All these keywords.
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