Titlebook: Mathematics and the Life Sciences; Selected Lectures, C David E. Matthews Conference proceedings 1977 Springer-Verlag Berlin Heidelberg 197

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The Characteristic Equation and StabilityThe local behavior of a system of differential equations .near an equilibrium point depends on the roots (eigenvalues) of the characteristic equation .where A = (a.) is the matrix of first partial derivatives .evaluated at the equilibrium point.

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Moving Equilibriarameter change does not depend on the state variables but rather on other processes external to the model. However, it can also happen that the parameters are themselves responding slowly to the variables and we then have the problem of coupled fast and slow systems.

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Responses to Parameter Changele. Then there is a simple, straightforward comparison between predicted and observed variation in space or time (however, the temporal variation in parameters must be slow enough for the moving equilibrium model to be applicable).

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0341-633X he 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter­ disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical scienc

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Conference proceedings 1977ennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter­ disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geograp