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Spatial and stochastic epidemics : theory, simulation and control
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Brand, Samuel (2012) Spatial and stochastic epidemics : theory, simulation and control. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2681932~S1
Abstract
It is now widely acknowledged that spatial structure and hence the spatial position
of host populations plays a vital role in the spread of infection. In this work
I investigate an ensemble of techniques for understanding the stochastic dynamics
of spatial and discrete epidemic processes, with especial consideration given to SIR
disease dynamics for the Levins-type metapopulation.
I present a toolbox of techniques for the modeller of spatial epidemics. The
highlight results are a novel form of moment closure derived directly from a stochastic
differential representation of the epidemic, a stochastic simulation algorithm that
asymptotically in system size greatly out-performs existing simulation methods for
the spatial epidemic and finally a method for tackling optimal vaccination scheduling
problems for controlling the spread of an invasive pathogen.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics R Medicine > R Medicine (General) |
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Library of Congress Subject Headings (LCSH): | Epidemics -- Mathematical models, Stochastic processes, Spatial analysis (Statistics) | ||||
Official Date: | September 2012 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Centre for Complexity Science | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Keeling, Matthew James | ||||
Sponsors: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Extent: | ix, 228 leaves : illustrations | ||||
Language: | eng |
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