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BibTeX entry
@Article{Kerckhove:2012:PDP,
author = "Michael Kerckhove",
title = "From Population Dynamics to Partial Differential
Equations",
journal = j-MATHEMATICA-J,
volume = "14",
number = "??",
pages = "??--??",
month = "????",
year = "2012",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
bibdate = "Sat Mar 15 08:18:46 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib",
URL = "http://www.mathematica-journal.com/2012/04/from-population-dynamics-to-partial-differential-equations/",
abstract = "Differential equation models for population dynamics
are now standard fare in single-variable calculus.
Building on these ordinary differential equation (ODE)
models provides the opportunity for a meaningful and
intuitive introduction to partial differential
equations (PDEs). This article illustrates PDE models
for location-dependent carrying capacities, migrations,
and the dispersion of a population. The PDE models
themselves are built from the logistic equation with
location-dependent parameters, the traveling wave
equation, and the diffusion equation. The approach
presented here is suitable for a single lecture,
reading assignment, and exercise set in multivariable
calculus. Interactive examples accompany the text and
the article is designed for use as a CDF document in
which some of the input can remain hidden.",
acknowledgement = ack-nhfb,
journal-URL = "http://www.mathematica-journal.com/",
}
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