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Application of perturbation theory to temporal and spatio-temporal models for disease dynamics
Reference
MAF12279
Principal Investigator / Supervisor
Professor Christopher Gilligan
Co-Investigators /
Co-Supervisors
Dr James Truscott
,
Dr K White
Institution
University of Cambridge
Department
Plant Sciences
Funding type
Research
Value (£)
141,024
Status
Completed
Type
Research Grant
Start date
01/05/2000
End date
01/05/2003
Duration
36 months
Abstract
Perturbation methods will be used to analyse and to generate approximate solutions to a range of epidemiological models. We will examine the effects of primary and secondary infection processes on the far from equilibrium behaviour of these systems. In particular, we will investigate the ability of disease to invade a host population and survive within it under changing environmental conditions and subject to various forms of sudden disturbance such as harvesting or vaccination. We will extend the techniques to transient behaviour in spatial systems using the telegraph equation using asymptotic techniques. The models will be applied to a wide range of plant and some animal diseases.
Summary
unavailable
Committee
Closed Committee - Agri-food (AF)
Research Topics
X – not assigned to a current Research Topic
Research Priority
X – Research Priority information not available
Research Initiative
Mathematics & Modelling of Agriculture & Food Sys (MAF) [1999]
Funding Scheme
X – not Funded via a specific Funding Scheme
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