Bifurcations and multistability in a food chain model with nanoparticles

Mainul Hossain, N.C. Pati, Saheb Pal, Sourav Rana, Nikhil Pal and G.C. Layek

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 808-825

Abstract: In the present paper, we report the effect of nanoparticles in a three-species aquatic food chain model. It is assumed that due to the unavoidable interactions with nanoparticles, the growth rate of basal prey reduces. Fascinating dynamical scenarios in the model are explored in different bi-parametric spaces. We show that the model exhibits coexisting attractors of different kinds (periodic–periodic/periodic–chaotic) in some regions of the bi-parametric space. We also discover well-organized shrimp-shaped periodic structures in the chaotic regime, indicating the coexistence of order (regular pattern) and chaos. Further, a period-bubbling transition to chaos is found near the inner boundaries of the shrimp-shaped structure. It is also observed that managing the depletion rate of the nanoparticles can be used as a control strategy to prevent population extinction in an aquatic food chain system.

Keywords: Food chain model; Nanoparticles; Multistability; Bi-parameter space; Period-bubbling; Lyapunov exponent (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:808-825

DOI: 10.1016/j.matcom.2021.06.017

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