Abstract

Citation

Researchers should cite this work as follows:

• Coleman, M. (2023). 2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations. SIMIODE, QUBES Educational Resources. doi:10.25334/KXV1-9Q53

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Coleman, Michael J.  2006. Population Modeling with Ordinary Differential Equations - Notes. 

See https://www2.gwu.edu/~mathgss/old_site/Slides/MikeC_Seminar.pdf . Accessed 27 March 2023.

Abstract: Population modeling is a common application of ordinary differential equations and can be studied even the linear case. We will investigate some cases of differential equations beyond the separable case and then expand to some basic systems of ordinary differential equations. The phase line and phase plane will be used to assist in plotting the solutions of these systems and consequently, to aide understanding the behavior of a hypothetical environment over time.