Department of Mathematical Sciences, Unit Catalogue 2008/09 |
MA40197 Mathematical modelling in ecology, evolution and epidemiology |
| Credits: 6 |
| Level: Masters |
| Semester: 1 |
| Assessment: CW 100% |
| Requisites: |
| Before taking this unit you must take MA30047 and take MA30063 |
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or equivalent units from another institution. MA30047 and MA30063 will be available as pre-sessional distance learning material for MSc students.
Aims: To study current problems in ecology, evolution and epidemiology using mathematical modelling techniques.
Learning Outcomes: After taking this unit, students should be able to: * Build a mathematical model suitable to address a particular research question in ecology, evolution or epidemiology; * Use a range of mathematical techniques to analyse the mathematical model; * Interpret and present findings from the modelling in a manner appropriate to the audience; * Read and summarise research papers in mathematical biology; * Prepare and present a seminar. Skills: Modelling biological systems (model formulation, analysis, interpretation, refinement) (T, F, A); Critical analysis of research papers (T, A); Presentation skills (T, F, A). Content: * Biological concepts: case studies in ecology, evolution and epidemiology used to highlight current research interests. These may include: co-operative behaviour; evolution of metabolic pathways; contact networks; disease resistance and co-infection; infection control. * Model structures will include: dynamical systems; control systems; reaction-diffusion equations; network models and cellular automata/simulation. * Mathematical techniques will include: perturbation theory; numerical solution using and adapting MATLAB programs instruction on which is given in MA50174; bifurcation theory; bounds and stability. * Research techniques: reading and summarising research papers; preparing and giving a seminar; producing a poster. |