Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle

In this thesis, several harvested fishery models using various types of harvesting strategies including the common harvesting, independent harvesting and nonlinear Michaelis-Menten harvesting functions are presented and analyzed. Besides that, most of the models are taking the existence of a toxi...

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Main Author:	Ang, Tau Keong
Format:	Thesis
Language:	English English English
Published:	2020
Subjects:	SH201 -399 Fisheries
Online Access:	http://eprints.uthm.edu.my/997/2/24p%20ANG%20TAU%20KEONG.pdf http://eprints.uthm.edu.my/997/1/ANG%20TAU%20KEONG%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/997/3/ANG%20TAU%20KEONG%20WATERMARK.pdf
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spelling	my-uthm-ep.9972021-09-20T06:48:23Z Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle 2020-09 Ang, Tau Keong SH201 -399 Fisheries In this thesis, several harvested fishery models using various types of harvesting strategies including the common harvesting, independent harvesting and nonlinear Michaelis-Menten harvesting functions are presented and analyzed. Besides that, most of the models are taking the existence of a toxicant into consideration, either in an anthropogenic or a self-produced form. In order to account for the intraguild predation interaction that occurs in marine ecosystems, three species fishery models are also studied by modeling the carrying capacities of both intraguild prey and predator fish as time-dependent variables. The idea of variable carrying capacity tends to describe the fish population dynamics in a varying environment by assuming their growth to be dependent on the environmental resource availability. In the context of resource management, an optimal harvesting policy is derived for the proposed models that aims to attain an optimal and sustainable yield of harvesting fisheries. Recent studies reveal that the study of harvesting alone is not sufficient to provide qualitative insights into the intrinsic behaviors of marine fish populations subject to harvesting. In fact, some of the important elements such as the presence of toxicants and intraguild prey-predation, as well as the interplay of the population with surrounding environment, are often neglected in most of the current studies. Therefore, the main contribution of this thesis is to generate insights into the dynamical behaviors of fishery models that account for the combination of the existence of harvesting, toxicant, as well as intraguild predation interaction. The dynamical properties discussed in this thesis give better understanding of the maximum thresholds of harvesting before the fish populations are driven to extinction. This thesis serves as a platform to investigate the optimal tradeoff of harvesting fisheries 2020-09 Thesis http://eprints.uthm.edu.my/997/ http://eprints.uthm.edu.my/997/2/24p%20ANG%20TAU%20KEONG.pdf text en public http://eprints.uthm.edu.my/997/1/ANG%20TAU%20KEONG%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/997/3/ANG%20TAU%20KEONG%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Fakulti Sains Gunaan dan Teknologi
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	SH201 -399 Fisheries
spellingShingle	SH201 -399 Fisheries Ang, Tau Keong Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
description	In this thesis, several harvested fishery models using various types of harvesting strategies including the common harvesting, independent harvesting and nonlinear Michaelis-Menten harvesting functions are presented and analyzed. Besides that, most of the models are taking the existence of a toxicant into consideration, either in an anthropogenic or a self-produced form. In order to account for the intraguild predation interaction that occurs in marine ecosystems, three species fishery models are also studied by modeling the carrying capacities of both intraguild prey and predator fish as time-dependent variables. The idea of variable carrying capacity tends to describe the fish population dynamics in a varying environment by assuming their growth to be dependent on the environmental resource availability. In the context of resource management, an optimal harvesting policy is derived for the proposed models that aims to attain an optimal and sustainable yield of harvesting fisheries. Recent studies reveal that the study of harvesting alone is not sufficient to provide qualitative insights into the intrinsic behaviors of marine fish populations subject to harvesting. In fact, some of the important elements such as the presence of toxicants and intraguild prey-predation, as well as the interplay of the population with surrounding environment, are often neglected in most of the current studies. Therefore, the main contribution of this thesis is to generate insights into the dynamical behaviors of fishery models that account for the combination of the existence of harvesting, toxicant, as well as intraguild predation interaction. The dynamical properties discussed in this thesis give better understanding of the maximum thresholds of harvesting before the fish populations are driven to extinction. This thesis serves as a platform to investigate the optimal tradeoff of harvesting fisheries
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Ang, Tau Keong
author_facet	Ang, Tau Keong
author_sort	Ang, Tau Keong
title	Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
title_short	Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
title_full	Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
title_fullStr	Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
title_full_unstemmed	Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
title_sort	dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Fakulti Sains Gunaan dan Teknologi
publishDate	2020
url	http://eprints.uthm.edu.my/997/2/24p%20ANG%20TAU%20KEONG.pdf http://eprints.uthm.edu.my/997/1/ANG%20TAU%20KEONG%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/997/3/ANG%20TAU%20KEONG%20WATERMARK.pdf
_version_	1747830726063030272

Dynamics and optimal harvesting of prey-predator fishery models in the presence of a toxicant using pontryagin maximum principle

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