Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay. (December 2021)

• Record Type: Journal Article
• Authors: Kaur, Rajinder Pal; Sharma, Amit; Sharma, Anuj Kumar; Sahu, Govind Prasad
• Is Part Of: Chaos, solitons and fractals. Volume 153:Part 1(2021)
• Publication Date: 2021-12
• Subjects: Plankton -- Chaos -- Seasonality -- Additional food -- Predation delay; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111521
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: In this article, the chaos control mechanisms is explored using internal parameters and external forces, viz., availability of additional food for zooplankton and fish, seasonality, predation delay and delayed feedback control. The availability of additional food for zooplankton and fish contributes to the rich dynamical behaviour (stable, quasi periodic, double periodic, chaotic) in the plankton-fish dynamics. A weak sinusoidal force plays a vital role in suppressing chaos from plankton-fish dynamics. It is observed that predation delay not only destabilizes the stable dynamics, but also stabilizes the chaotic system. A delayed feedback scheme has been presented to control chaos in the plankton-fish dynamics. Abstract: In marine ecology, plankton systems have rich and complex dynamics. The control of chaos in plankton systems is one of the main motives of recent research. In this article, the chaos control mechanisms is explored using internal parameters and external forces. Also, the availability of additional food for both zooplankton and fish is incorporated. The present work enhances the existing literature on the chaos control dynamics of available additional food for predator population by focusing on the consequences of predation delay and seasonal perturbations. It presents a comprehensive view of the different ranges of alternative food, periodic fluctuations, and time delay on the dynamics of the proposed system. The stability analysis of the systems with and without predation delay is studied. The Hopf-bifurcation analysis is performed by taking time delay as a bifurcation parameter. Control of chaos in plankton-fish dynamics is explored with respect to additional food for plankton and fish population, predation delay, seasonal perturbations and delayed feedback control. The numerical simulation presents the validation of theoretical results.