Stability Analysis of The phytoplankton Effect Model On Changes In Nitrogen Concentration On Integrated Multi-Trophic Aquaculture Systems

Widowati, Widowati Stability Analysis of The phytoplankton Effect Model On Changes In Nitrogen Concentration On Integrated Multi-Trophic Aquaculture Systems. Stability Analysis of The phytoplankton Effect Model On Changes In Nitrogen Concentration On Integrated Multi-Trophic Aquaculture Systems, 1025 (012088). pp. 1742-6596.

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Abstract

Abstract. Integrated Multi-Trophic Aquaculture (IMTA) is a polyculture with several biotas maintained in it to optimize waste recycling as a food source. The interaction between phytoplankton and nitrogen as waste in fish cultivation including ammonia, nitrite, and nitrate studied in the form of mathematical models. The form model is non-linear systems of differential equations with the four variables. The analytical analysis was used to study the dynamic behavior of this model. Local stability analysis is performed at the equilibrium point with the first step linearized model by using Taylor series, then determined the Jacobian matrix. If all eigenvalues have negative real parts, then the equilibrium of the system is locally asymptotic stable. Some numerical simulations were also demonstrated to verify our analytical result. Keywords: IMTA, polyculture dynamic models, stability, equilibrium point.

Item Type:Article
Subjects:S Agriculture > SH Aquaculture. Fisheries. Angling
Divisions:Faculty of Science and Mathematics > Department of Biology
ID Code:65418
Deposited By:Alik Maulidiyah
Deposited On:01 Oct 2018 20:18
Last Modified:01 Oct 2018 20:18

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