? Credit Points : 10  ? SCQF Level : 10  ? Acronym : MAT-4-MBi

Course for final year students in Honours programmes in Mathematics.

Continuous population models for a single species; delay-differential equations; biological waves in single-species models; biological oscillators and switches; the Hodgkin-Huxley model; dynamics of HIV.

? Pre-requisites : MAT-3-CVD

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

? Normal year taken : 4th year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type Day Start End Area Lecture Tuesday 10:00 10:50 KB Lecture Friday 10:00 10:50 KB

1. Finding the equilibria of a single-population model and their stability
2. Analysis of equilibria and stability of a delay-differential equation
3. Ability to analyse nonlinear PDE for travelling wave solution
4. Analysis and stability of equilibria of planar nonlinear system
5. Application of the Poincare-Bendixson theorem
6. Analysis and stability of equilibria of nonlinear systems in more than two variables.
7. Familiarity with biological applications as stated in the syllabus

Examination only.

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST May 1 - 2 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/