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Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal

A mathematical model is considered to study the relationship of fish and predator with the different values of birth and death parameter for predator population and different values of harvesting rate of fish. The logistic and Von Bertalanffy growth models are used to study this relationship. The re...

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Main Authors: Wan Hussin, Wan Natasha, Mohd Yusoff, Siti Noor Fatihah, Mustafa Kamal, Nurul Anisa Ain
Format: Student Project
Language:English
Published: 2017
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110027/1/110027.pdf
https://ir.uitm.edu.my/id/eprint/110027/
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id my.uitm.ir.110027
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spelling my.uitm.ir.1100272025-02-11T08:44:26Z https://ir.uitm.edu.my/id/eprint/110027/ Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal Wan Hussin, Wan Natasha Mohd Yusoff, Siti Noor Fatihah Mustafa Kamal, Nurul Anisa Ain Study and teaching Equations Analysis A mathematical model is considered to study the relationship of fish and predator with the different values of birth and death parameter for predator population and different values of harvesting rate of fish. The logistic and Von Bertalanffy growth models are used to study this relationship. The relationship can be interpret by sketch a graph of prey and predator ver­sus time using MATLAB software. The difference values of birth and death parameters may be affect the predator population. The predator models corresponding to prey growth models have been solved analytically by using separation of variable and partial fraction techniques. The stability of non-coexistence equilibrium points for non-linear logistic and Von Bertalanffy growth models can be identify based on the graph of vector fields and trajectories. By using the formula of Maximum Sustainable Yield (MSY), the value of harvesting or fishing rate that can kept the population of prey above sustainable level can be obtain. 2017 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110027/1/110027.pdf Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal. (2017) [Student Project] <http://terminalib.uitm.edu.my/110027.pdf> (Unpublished)
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 Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Wan Hussin, Wan Natasha
Mohd Yusoff, Siti Noor Fatihah
Mustafa Kamal, Nurul Anisa Ain
Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
description A mathematical model is considered to study the relationship of fish and predator with the different values of birth and death parameter for predator population and different values of harvesting rate of fish. The logistic and Von Bertalanffy growth models are used to study this relationship. The relationship can be interpret by sketch a graph of prey and predator ver­sus time using MATLAB software. The difference values of birth and death parameters may be affect the predator population. The predator models corresponding to prey growth models have been solved analytically by using separation of variable and partial fraction techniques. The stability of non-coexistence equilibrium points for non-linear logistic and Von Bertalanffy growth models can be identify based on the graph of vector fields and trajectories. By using the formula of Maximum Sustainable Yield (MSY), the value of harvesting or fishing rate that can kept the population of prey above sustainable level can be obtain.
format Student Project
author Wan Hussin, Wan Natasha
Mohd Yusoff, Siti Noor Fatihah
Mustafa Kamal, Nurul Anisa Ain
author_facet Wan Hussin, Wan Natasha
Mohd Yusoff, Siti Noor Fatihah
Mustafa Kamal, Nurul Anisa Ain
author_sort Wan Hussin, Wan Natasha
title Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
title_short Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
title_full Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
title_fullStr Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
title_full_unstemmed Technical report: mathematical modelling of fish and predator based on logistic and Von Bertalanffy growth models / Wan Natasha Wan Hussin, Siti Noor Fatihah Mohd Yusoff and Nurul Anisa Ain Mustafa Kamal
title_sort technical report: mathematical modelling of fish and predator based on logistic and von bertalanffy growth models / wan natasha wan hussin, siti noor fatihah mohd yusoff and nurul anisa ain mustafa kamal
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/110027/1/110027.pdf
https://ir.uitm.edu.my/id/eprint/110027/
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score 13.239859

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