Abstract
The contributions to this textbook are based on a summer school on Dynamics of Biological Systems as part of the series “Séminaire de Mathématiques Supérieures,” which was held at the University of Alberta in June 2016. The lectures cover a wide variety of topics and it would be presumptuous to assume that all readers are equally familiar with all the background material. Hence we use this introduction to lay down basic concepts on mathematical modelling, stability analysis, nondimensionalizations, partial and ordinary differential equations, basic population and epidemic models, random walk models, travelling wave solutions, and the critical domain size problem. Experienced researchers can easily skip this chapter.
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Notes
- 1.
This section is based on the more detailed presentation in Thieme [33].
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Hillen, T., Lewis, M.A. (2019). Dynamical Systems in Biology: A Short Introduction. In: Bianchi, A., Hillen, T., Lewis, M., Yi, Y. (eds) The Dynamics of Biological Systems. Mathematics of Planet Earth, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-030-22583-4_1
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