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List
of Prerequisites
Individual Problems.
Although we do not have the capacity to address individual problems in any great detail
during the course (mainly due to its popularity), participants will learn the most if they
bring with them at least the ideas for a particular infectious disease of which they have
some experience.
Literature
In addition to the references and suggestions for further reading made throughout the
course, we will supply the following references to the participants either within the
course notes or in electronic format (Adobe Acrobat files):
The first three references are supplied in the course notes and form the bulk of the
lectures on the logic and consequences of vaccination:
- Anderson RM and Nokes DJ (1991) Mathematical models of transmission and control.
In Oxford Textbook of Public Health Volume 2, Chapter 14 (Holland WW, Detels R and Knox G,
editors), Oxford Medical Publications, 2nd Edition, 1991.
- Nokes DJ and Anderson RM (1992) Mathematical models of infectious agent transmission and
the impact of mass vaccination. Reviews in Medical Microbiology. Volume 3; Pages
187-195.
- Nokes DJ and Anderson RM (1993) Application of mathematical models to the design of
immunisation strategies. Reviews in Medical Microbiology. Volume 4; Pages 1-7.
Material from the following three references (available as pdf files)
will be presented as a veterinary example of modelling an infection of "known"
biology from exploration of basic principals through control policy design to economic
analysis of impact:
- O'Callaghan CJ, Medley GF, Peter TF and Perry
BD. (1998) Investigating the epidemiology of heartwater (Cowdria ruminantium
infection) by means of a transmission dynamics model. Parasitology Volume 117;
Issue 1; Pages 49-61.
- Callaghan CJ, Medley GF, Peter TF, Mahan SM
and Perry BD. (1999) The effect of vaccination on the transmission dynamics of
heartwater (Cowdria ruminantium infection). Preventive Veterinary Medicine
Volume 42; Issue 1; Pages 17-39.
- Mukhebi AW, Chamboko T, O'Callaghan CJ, Peter TF, Kruska RL,
Medley GF, Mahan SM and Perry BD. (1999) An assessment of the economic impact of
Heartwater (Cowdria ruminantium infection) and its control in Zimbabwe. Preventive
Veterinary Medicine Volume 39; Issue 3; Pages 173-189.
Two examples of mathematical modelling manuscripts for veterinary
pathogens are also presented as pdf files. The first should fall well within the level of
understanding of the participants after this course. The second is highly mathematical and
well well beyond the level of complexity of the course but is "cutting edge"
and we present it as an example of the progress being made in the context of infectious
diseases of veterinary importance:
- Cherry BR, Reeves MJ and Smith G. (1998) Evaluation
of bovine viral diarrhea virus control using a mathematical model of infection dynamics. Preventive
Veterinary Medicine Volume 33; Pages 91-108.
- Greenhalgh D, Diekmann O and de Jong MCM. (2000).
Subcritical endemic steady states in mathematical models for animal infections with
incomplete immunity. Mathematical Biosciences Volume 165; Issue 1; Pages 1-25.
Additional / Further Reading (at your leisure):
- Anderson & May, Infectious Diseases of Humans: Dynamics & Control. Oxford
University Press, 2nd edition, 1991.
- Woolhouse, MEJ, Haydon DT and Bundy DAP. (1997) The design of veterinary vaccination
programmes. The Veterinary Journal Volume 153; Pages 41-47.
Software
We will be using ModelMaker Ver. 4.0.1 during the course. It is available for a 30 day
free trial from: www.modelkinetix.com You are
welcome to bring a disk and copy the examples we give during the course for your own use. |
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