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Implementation of lyapunov method to analyze the stability of pompano, cantang growth and nutrition dynamical systems

This study aims to determine the analysis stability of dynamical model of pompano, cantang growth, and nutrition on the Integrated Multi-Trophic Aquaculture (IMTA) systems by using the Lyapunov method. The analytical analysis was given to discuss the dynamic behavior of this model. Global stability...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-05, Vol.1217 (1), p.12059
Main Authors: Widowati, Putro, S P, Maan, N, Sulpiani, R
Format: Article
Language:English
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Summary:This study aims to determine the analysis stability of dynamical model of pompano, cantang growth, and nutrition on the Integrated Multi-Trophic Aquaculture (IMTA) systems by using the Lyapunov method. The analytical analysis was given to discuss the dynamic behavior of this model. Global stability analysis was performed based on the Lyapunov theory, i.e., construction the function V (x) that is a definite positive scalar function and the derivative of V (x) is defa inite negative. As a verification of the Lyapunov method, we conducted numerical simulations with data taken from IMTA systems in Sea Farming region, Kepulauan Seribu, Indonesia.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1217/1/012059