A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton

Premakumari, R.N.; Baishya, Chandrali; Samei, Mohammad Esmael; Naik, Manisha Krishna

doi:10.1016/j.cnsns.2024.108157

Communications in Nonlinear Science and Numerical Simulation

2024

DOI: 10.1016/j.cnsns.2024.108157

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A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton

R.N. Premakumari,

Chandrali Baishya,

Mohammad Esmael Samei

et al.

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Cited by 3 publications

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Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

Menchih,

Hilal,

Kajouni

et al. 2024

Qual. Theory Dyn. Syst.

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Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

Menchih,

Hilal,

Kajouni

et al. 2024

Qual. Theory Dyn. Syst.

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Insights into the plankton community seasonal variations in a finer scale of the Bohai Sea: biodiversity, trophic linkage, and biotic-abiotic interplay

Zhao,

Wang,

Wang

et al. 2024

Front. Mar. Sci.

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Plankton play an indispensable role in the biogeochemical processes of marine ecosystem. However, unraveling the intricate interactions among biodiversity, trophic linkages, and biotic-abiotic interplay between phytoplankton-zooplankton remains a significant challenge. Here, we conducted field studies in the neritic area of the Bohai Sea during autumn 2023 and spring 2024 to explore seasonal variations of both phytoplankton and zooplankton through microscope. Our analysis revealed a sharp decline in trophic interactions across phytoplankton and zooplankton, with an abundance ratio in autumn 2023 being 5.5 times higher than in spring 2024. Additionally, dominant plankton species (Y ≥ 0.02) exhibited obvious differences between the two seasons, with higher species diversity observed in autumn. Moreover, each dominant zooplankton species had distinct preferred food items in both seasons, with Rhizosolenia setigera being favored by Noctiluca scintillans and Acartia pacifica. Furthermore, a multivariate biota-environment analysis indicated that each dominant plankton species had unique correlation with specific environmental parameters, highlighting how plankton can fully exploit external environmental conditions to survive in seasonal variations. Ultimately, our findings emphasize significant seasonal dynamics and provide a solid foundation for assessing the potential impacts of environmental changes on plankton in coastal marine realm.

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On the existence, stability and chaos analysis of a novel 4D atmospheric dynamical system in the context of the Caputo fractional derivatives

Rangappa,

Baishya,

George

et al. 2024

MATH

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<p>In this study, changes in westerly waves and their connections to increased global warming under the influence of greenhouse gases were investigated via a Caputo fractional four-dimensional atmospheric system. The idea of the existence of chaotic behavior in the westerly wind's motion was depicted. It has been noted that westerlies are becoming stronger due to rising air temperatures. An analysis of the existence, uniqueness, boundedness, stability of equilibrium points, and conservative behavior of the solutions was conducted. To prove the existence of chaos in the modified model, the Lyapunov exponents, Poincaré map, and bifurcation were computed. A sliding mode controller to control the chaos in this novel fractional-order system was designed, and conditions for the global stability of the controlled system with and without external disturbances and uncertainties were derived. The finite-time interval for the system to reach the sliding surface was computed. The developed controller's performance was evaluated with respect to both commensurate and non-commensurate fractional derivatives. In each scenario, the impact of fractional orders was investigated. Numerical simulations were used to support theoretical statements about how the controller affects the system.</p>

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A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton

Cited by 3 publications

References 43 publications

Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

Insights into the plankton community seasonal variations in a finer scale of the Bohai Sea: biodiversity, trophic linkage, and biotic-abiotic interplay

On the existence, stability and chaos analysis of a novel 4D atmospheric dynamical system in the context of the Caputo fractional derivatives

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