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Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]

Wastewater treatment is essential to preserve the ecosystem and to ensure water resources are uncontaminated. This paper presents the Lotka-Volterra model of nonlinear ordinary differential equations of the interaction between predator-prey and substrate. The dimensionless ordinary differential equa...

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Main Authors: Md Ali, Zaileha, Mohd Puard, Ezmir Faiz, Sudin, Muhamad Hariz, Mohd Idris, Nur Aziean
Format: Article
Language:English
Published: Universiti Teknologi MARA 2022
Subjects:
Environmental pollution
Water pollution
Online Access:https://ir.uitm.edu.my/id/eprint/58245/1/58245.pdf
https://ir.uitm.edu.my/id/eprint/58245/
https://scilett-fsg.uitm.edu.my/
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spelling my.uitm.ir.582452022-04-13T02:49:23Z https://ir.uitm.edu.my/id/eprint/58245/ Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.] Md Ali, Zaileha Mohd Puard, Ezmir Faiz Sudin, Muhamad Hariz Mohd Idris, Nur Aziean Environmental pollution Water pollution Wastewater treatment is essential to preserve the ecosystem and to ensure water resources are uncontaminated. This paper presents the Lotka-Volterra model of nonlinear ordinary differential equations of the interaction between predator-prey and substrate. The dimensionless ordinary differential equations of the model are solved using the 4th Order Runge-Kutta method (RK4) in MATLAB®. This study discusses the behaviour parameters of predators, prey and substrate. The results are shown graphically for different values of each parameter. Hence, the biological reaction of clean water from the interaction of predator-prey and substrate in wastewater treatment is identified. The higher the concentration of prey, the faster the concentration of substrate reaches 0 with and without the natural death of prey. The clean water will be produced whenever the concentration of prey and the concentration of predator are in balance regardless of the natural death rate. Stability analysis using the Jacobian matrix at the equilibrium point is also performed to determine the stability of the system. Universiti Teknologi MARA 2022-01 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/58245/1/58245.pdf (2022) Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]. Science Letters (ScL), 16 (1): 12. pp. 72-83. ISSN (eISSN): 2682-8626 https://scilett-fsg.uitm.edu.my/
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Environmental pollution
Water pollution
spellingShingle Environmental pollution
Water pollution
Md Ali, Zaileha
Mohd Puard, Ezmir Faiz
Sudin, Muhamad Hariz
Mohd Idris, Nur Aziean
Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
description Wastewater treatment is essential to preserve the ecosystem and to ensure water resources are uncontaminated. This paper presents the Lotka-Volterra model of nonlinear ordinary differential equations of the interaction between predator-prey and substrate. The dimensionless ordinary differential equations of the model are solved using the 4th Order Runge-Kutta method (RK4) in MATLAB®. This study discusses the behaviour parameters of predators, prey and substrate. The results are shown graphically for different values of each parameter. Hence, the biological reaction of clean water from the interaction of predator-prey and substrate in wastewater treatment is identified. The higher the concentration of prey, the faster the concentration of substrate reaches 0 with and without the natural death of prey. The clean water will be produced whenever the concentration of prey and the concentration of predator are in balance regardless of the natural death rate. Stability analysis using the Jacobian matrix at the equilibrium point is also performed to determine the stability of the system.
format Article
author Md Ali, Zaileha
Mohd Puard, Ezmir Faiz
Sudin, Muhamad Hariz
Mohd Idris, Nur Aziean
author_facet Md Ali, Zaileha
Mohd Puard, Ezmir Faiz
Sudin, Muhamad Hariz
Mohd Idris, Nur Aziean
author_sort Md Ali, Zaileha
title Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
title_short Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
title_full Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
title_fullStr Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
title_full_unstemmed Lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / Zaileha Md Ali ...[et al.]
title_sort lotka-volterra model of wastewater treatment in bioreactor system using 4th order runge-kutta method / zaileha md ali ...[et al.]
publisher Universiti Teknologi MARA
publishDate 2022
url https://ir.uitm.edu.my/id/eprint/58245/1/58245.pdf
https://ir.uitm.edu.my/id/eprint/58245/
https://scilett-fsg.uitm.edu.my/
_version_ 1731229116238135296
score 13.211869

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