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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:572030 |
| Date | January 2012 |
| Creators | Dreiwi, Hanan Ali |
| Contributors | Townley, Stuart |
| Publisher | University of Exeter |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/10036/3749 |
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