Using Transfer Function Analysis in Modelling Biological Invasions

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Using Transfer Function Analysis in Modelling Biological Invasions

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dc.contributor.author Dreiwi, Hanan Ali en_US
dc.date.accessioned 2012-09-20T15:35:26Z en_US
dc.date.accessioned 2013-03-21T10:49:47Z
dc.date.issued 2012-06-22 en_US
dc.description.abstract This thesis is made up of seven chapters and two appendices. Chapter 1 provides an introduction whilst Chapter 7 o ers a conclusion. In Chapter 2 we provide preliminaries on population projection models and robustness analysis. In Chapter 3 we introduce a stage-structured model in a context of biological invasions. Using a Transfer Function Approach, we provide a detailed analysis of the invasion model where the existence and local stability of all possible equilibria are characterised in terms of the underlying parameters of the model. In Chapter 4, a Lyapunov function approach is used to estimate the basin of attraction for each equilibrium. In Chapter 5, harvesting is incorporated into the model and we speci cally examine the e ect of harvesting on whether one or both of the species are eliminated. In Chapter 6 we introduce a novel technique to measure the possibility of invasion in non-normal systems where the traditional invasion exponent technique is unreliable. en_GB
dc.description.sponsorship Libyan Government en_GB
dc.identifier.uri http://hdl.handle.net/10036/3749 en_US
dc.language.iso en en_GB
dc.publisher University of Exeter en_GB
dc.title Using Transfer Function Analysis in Modelling Biological Invasions en_GB
dc.type Thesis or dissertation en_GB
dc.date.available 2012-09-20T15:35:26Z en_US
dc.date.available 2013-03-21T10:49:47Z
dc.contributor.advisor Townley, Stuart en_US
dc.publisher.department Mathematics en_GB
dc.type.degreetitle PhD in Mathematics en_GB
dc.type.qualificationlevel Doctoral en_GB
dc.type.qualificationname PhD en_GB


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