Mathematical analysis of population growth subject to environmental change

Many ecosystems are pressured when the environment is perturbed, such as when resources are scarce, or even when they are over-abundant. Changes in the environment impact on its ability to support a population of a given species. However, most current models do not take the changing environment i...

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Main Author: Mohd Safuan, Hamizah
Format: Thesis
Language:English
Published: 2014
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Online Access:http://eprints.uthm.edu.my/10794/1/24p%20HAMIZAH%20MOHD%20SAFUAN.pdf
http://eprints.uthm.edu.my/10794/
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spelling my.uthm.eprints.107942024-05-13T06:54:13Z http://eprints.uthm.edu.my/10794/ Mathematical analysis of population growth subject to environmental change Mohd Safuan, Hamizah T Technology (General) Many ecosystems are pressured when the environment is perturbed, such as when resources are scarce, or even when they are over-abundant. Changes in the environment impact on its ability to support a population of a given species. However, most current models do not take the changing environment into consideration. The standard approach in modelling a population in its environment is to assume that the carrying capacity, which is a proxy for the state of the environment, is unchanging. In e�ect, the assumption also posits that the population is negligible compared to the environment and cannot alter the carrying capacity in any way. Thus, modelling the interplay of the population with its environments is important to describe varying factors that exist in the system. This objective can be achieved by treating the carrying capacity as time- and space-dependent variables in the governing equations of the model. Thereby, any changes to the environment can be naturally re ected in the survival, movement and competition of the species within the ecosystem. In this thesis, detailed investigations of several mathematical models for population growth are presented. Formulating the carrying capacity as being time-dependent was the fundamental approach used to describe a varying environment which resulted in investigating a non-autonomous equation. This approach led to developing models that directly couple the dynamics of one or two species with their environments. To attain this, the carrying capacity was modelled as a state-variable. In these models, the ultimate state for the ecosystem depends on the resource enrichment parameter that was found to have signi�cant impact on the growth of a population, leading to either coexistence or extinction of a particular species. Other dynamical behaviours including oscillations in population have also been found to exist. Varying the carrying capacity has given a better understanding of population growth when subjected to environmental change. This thesis serves as another platform for ecologists and biologists to investigate further the importance of a varying environment, and could be applied in future population-growth studies. 2014-11 Thesis NonPeerReviewed text en http://eprints.uthm.edu.my/10794/1/24p%20HAMIZAH%20MOHD%20SAFUAN.pdf Mohd Safuan, Hamizah (2014) Mathematical analysis of population growth subject to environmental change. Doctoral thesis, University of New South Wales.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Mohd Safuan, Hamizah
Mathematical analysis of population growth subject to environmental change
description Many ecosystems are pressured when the environment is perturbed, such as when resources are scarce, or even when they are over-abundant. Changes in the environment impact on its ability to support a population of a given species. However, most current models do not take the changing environment into consideration. The standard approach in modelling a population in its environment is to assume that the carrying capacity, which is a proxy for the state of the environment, is unchanging. In e�ect, the assumption also posits that the population is negligible compared to the environment and cannot alter the carrying capacity in any way. Thus, modelling the interplay of the population with its environments is important to describe varying factors that exist in the system. This objective can be achieved by treating the carrying capacity as time- and space-dependent variables in the governing equations of the model. Thereby, any changes to the environment can be naturally re ected in the survival, movement and competition of the species within the ecosystem. In this thesis, detailed investigations of several mathematical models for population growth are presented. Formulating the carrying capacity as being time-dependent was the fundamental approach used to describe a varying environment which resulted in investigating a non-autonomous equation. This approach led to developing models that directly couple the dynamics of one or two species with their environments. To attain this, the carrying capacity was modelled as a state-variable. In these models, the ultimate state for the ecosystem depends on the resource enrichment parameter that was found to have signi�cant impact on the growth of a population, leading to either coexistence or extinction of a particular species. Other dynamical behaviours including oscillations in population have also been found to exist. Varying the carrying capacity has given a better understanding of population growth when subjected to environmental change. This thesis serves as another platform for ecologists and biologists to investigate further the importance of a varying environment, and could be applied in future population-growth studies.
format Thesis
author Mohd Safuan, Hamizah
author_facet Mohd Safuan, Hamizah
author_sort Mohd Safuan, Hamizah
title Mathematical analysis of population growth subject to environmental change
title_short Mathematical analysis of population growth subject to environmental change
title_full Mathematical analysis of population growth subject to environmental change
title_fullStr Mathematical analysis of population growth subject to environmental change
title_full_unstemmed Mathematical analysis of population growth subject to environmental change
title_sort mathematical analysis of population growth subject to environmental change
publishDate 2014
url http://eprints.uthm.edu.my/10794/1/24p%20HAMIZAH%20MOHD%20SAFUAN.pdf
http://eprints.uthm.edu.my/10794/
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score 13.160551