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MA4E7 Population Dynamics: Ecology & Epidemiology

Lecturer: Louise Dyson

Term(s): Term 2

Status for Mathematics students: List C

Commitment: 30 one-hour lectures

Assessment: Three-hour exam.

Prerequisites: MA390 Topics in Mathematical Biology provides some useful background material. This course complements the work covered by MA480 Mathematics in Medicine.

Leads To:

Content: This course deals with the mathematics behind the dynamics of populations; both populations of free-living organisms (from plants to predators) and those that cause disease. Once the basic models and concepts have been introduced attention will focus on understanding the many complexities that can arise, such as age-structure, spatial structure, temporal forcing and stochasticity. The focus of the course will be how mathematical models can help us both predict the future behaviour of populations and understand their dynamics.

Research into the dynamics of ecological populations allows us to understand the conservation of endangered species, make predictions about the effects of global climate change and understand the population fluctuations observed in the natural world. Work on infectious diseases clearly has important applications to public-health, allowing us to predict the spread of an epidemic (such as Foot-and-Mouth or SARS virus) and determine the effect of control measures.

Throughout, use will be made of examples in the recent literature, with a strong bias towards read-world problems. Special attention will be given to the applied use of the models developed and the necessity of good quality biological data and understanding.

Books:

Much of this course will be based on research papers and comprehensive references will be given throughout the course. Four useful books are:

R.M. Anderson and R.M. May Infectious Diseases of Humans, Oxford University Press, 1992. (ISBN 019854040X)

S.P. Ellner and J. Guckenheimer Dynamic Models in Biology, Princeton University Press, 2006 (ISBN 0691125899)

R.M. May and A. McLean Theoretical Ecology: Principles and Applications, Oxford University Press, 2007 (ISBN 0199209995)

M.J. Keeling and P. Rohani Modeling Infectious Diseases in Humans and Animals, Princeton University Press, 2007 (ISBN 0691116172)

Additional Resources

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Year 1 regs and modules
G100 G103 GL11 G1NC

yr2.jpg
Year 2 regs and modules
G100 G103 GL11 G1NC

yr3.jpg
Year 3 regs and modules
G100 G103

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Year 4 regs and modules
G103

Archived Material
Past Exams
Core module averages