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Modeling and Stability Analysis of Salmon Mortality due to Microalgae Bloom using Linear Parameter-Varying Structure

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Author(s):
Sanchez, Daniel E. ; Palma, Jonathan M. ; Lobo, Rodolfo A. ; Meyer, Joao F. C. A. ; Morais, Cecilia F. ; Rojas-Palma, Alejandro ; Oliveira, Ricardo C. L. F. ; IEEE
Total Authors: 8
Document type: Journal article
Source: 2019 IEEE CHILEAN CONFERENCE ON ELECTRICAL, ELECTRONICS ENGINEERING, INFORMATION AND COMMUNICATION TECHNOLOGIES (CHILECON); v. N/A, p. 6-pg., 2019-01-01.
Abstract

This paper investigates a non -autonomous system that describes a biomathematical model in a salmon farming context. More precisely, we consider two coupled nonlinear differential equations that model the dynamic behavior among aquatic pollution, salmon and microalgae populations. In this maritime habitat, we represent a harmful algal bloom (HAB) due to the climate event called El Nino. This phenomenon produces an ecological problem increasing the water temperature that starts a HAB, increasing the salmon mortality due to microalgae toxins and, consequently, incorporating additional aquatic pollution. In this work, we provide some stability and error analysis techniques based on a linear parameter-varying system modeling. Finally, we present numerical results and computational simulations in order to illustrate the applicability for our approach to model real ecological problems. (AU)

FAPESP's process: 17/18785-5 - Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems
Grantee:Pedro Luis Dias Peres
Support Opportunities: Regular Research Grants