## Department of Mathematical Sciences, Unit Catalogue 2009/10 |

## MA40197: Mathematical modelling in ecology, evolution and epidemiology |

Credits: | 6 |

Level: | Masters |

Period: | Semester 1 |

Assessment: | CW 100% |

Supplementary Assessment: | Like-for-like reassessment (where allowed by programme regulations) |

Requisites: | Before taking this unit you must take MA30047 and take MA30063 |

Description:
| 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. |