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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| Format: | Thesis |
| Language: | English English English |
| Published: |
2020
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| Subjects: | |
| 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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| Summary: | 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 |
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