Notes-Qualitative Analysis of Differential Equations

By Alexander Panfilov

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Abstract

Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. 116 pp. http://www-binf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.

This is a set of notes with derivations, motivating illustrations, exercises, and some modest modeling. The notes begin with algebra and calculus background and present differential equations of one variables with emphasis on qualitative behavior and solution strategies.  Systems with both linear and non-linear differential equations are discussed using linearization with the Jacobian for the latter. There is good detail on graphical and qualitative analysis.

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Researchers should cite this work as follows:

  • Alexander Panfilov (2015), "Notes-Qualitative Analysis of Differential Equations," https://simiode.org/resources/958.

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