Undergraduate Course: Mathematical Biology (MATH10013)
Course Outline
School | School of Mathematics |
College | College of Science and Engineering |
Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Availability | Available to all students |
SCQF Credits | 10 |
ECTS Credits | 5 |
Summary | 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. |
Course description |
Continuous models for a single species
Discrete population models for a single species
Models for interacting populations
Reaction-diffusion equations, chemotaxis and non-local mechanisms
Biological waves
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Information for Visiting Students
Pre-requisites | None |
Course Delivery Information
Not being delivered |
Learning Outcomes
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
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Reading List
Mathematical Biology I. An Introduction, 3rd Edition, J.D. Murray, Springer (2008) |
Contacts
Course organiser | Dr Martin Dindos
Tel:
Email: M.Dindos@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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