
2012KerckhoveMathematica Pop Dynamics Tutorial PDE
10 Sep 2017  Contributor(s):: Brian Winkel
Kerckhove, Michael. 2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 118.Abstract: Differential equation models for population dynamics are now standard fare in singlevariable calculus. Building on these ordinary differential equation (ODE)...

PennelDifferential Equaitons First Order Applications
09 Sep 2017  Contributor(s):: Brian Winkel
Pennel, Steve. Differential Equations: Applications of First Order Differential Equations. Notes. 44 p. Universiyt of Massachusetts, Lowel.This is a set of modeling activities with derivations, Matlab code, and mathematical details covering the following topics: Newton’s Second Law...

2001ChengTeachingMathematicalModeling
08 Sep 2017  Contributor(s):: Brian Winkel
Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools. The Mathematics Educator. 6(1): 6375. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...

1994DavisAskingGoodQuestionsAboutDEs
07 Sep 2017  Contributor(s):: Brian Winkel
Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5): 394400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

1975BurghesPopulationDynamics
07 Sep 2017  Contributor(s):: Brian Winkel
Burghes, David N. 1975. Population dynamics An introduction to differential equations. International Journal of Mathematical Education in Science and Technology. 6(3): 265276.Abstract: In this paper a number of population models, which lead to differential equations, are derived....

2006KarOptimalHarvestwithPreyRefuge
06 Sep 2017  Contributor(s):: Brian Winkel
Kar, Tapan Kumar. 2006: Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge. International Journal of Mathematical Education in Science and Technology. 37(5): 559571.Abstract: This paper deals with a prey–predator model...

2016deBoerModeling Population Dynamics Text
06 Sep 2017  Contributor(s):: Brian Winkel
De Boer, Rob J. 2016 Modeling Population Dynamics: A Graphical Approach. http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

2014deRossmodelingPopulationDynamicsText
05 Sep 2017  Contributor(s):: Brian Winkel
De Ross, Andre M. 2014. Modeling Population Dynamics. OnLine text. 222 pp. https://staff.fnwi.uva.nl/a.m.deroos/downloads/pdf_readers/syllabus.pdf . Accessed 4 September 2017From the Introduction to the text, “This course is intended as an introduction to the formulation, analysis...

2007LuoPopulation Modeling By Differential Equations
05 Sep 2017  Contributor(s):: Brian Winkel
Luo, Hui. 2007. Population Modeling by Differential Equations. Marshall University. Theses, dissertations and capstones. Paper 713. 31 pp. http://mds.marshall.edu/etd/713/ . Accessed 4 September 2017.Abstract: A general model for the population of Tibetan antelope is...

VasModeling With Differential Equations
05 Sep 2017  Contributor(s):: Brian Winkel
Vas, Lia. Notes: Modeling With Differential Equations. 8 pp. http://liavas.net/courses/math422/files/Differential_eq.pdf . Accessed 5 September 2017.This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are...

1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017  Contributor(s):: Brian Winkel
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

1975GriffelFormationSolutionDEModels
03 Sep 2017  Contributor(s):: Brian Winkel
Griffel, D. H. 1975. Teaching the formation and solution of differential equations. International Journal of Mathematical Education in Science and Technology. 6(4): 467473This paper raises many interesting questions about teaching the formation (and solution) of differential...

2009HowardModelingWithODE
02 Sep 2017   Contributor(s):: Brian Winkel
2009. Howard, Peter. Modeling With ODE. Class Notes. Texas A&M University. 26 pp. http://www.math.tamu.edu/~phoward/m442/modode.pdf Keywords: differential equation, model, reaction, chemistry, carbon dating, rates, mechanics, competition, epidemic, population, pendulum, planetary motion,...

Analysis of logistic growth models
02 Mar 2017   Contributor(s):: Brian Winkel
Tsoularis, A. 2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:2346. Full article available at http://mro.massey.ac.nz/handle/10179/4341 .Article Abstract: A variety of growth curves have been developed to model both unpredated,...

6040SStruggleForExistence
23 Nov 2016   Contributor(s):: Brian Winkel
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.

2011Koss Sustainability  Case Study of Easter Island
20 Jun 2015   Contributor(s):: Lorelei Koss
Koss, Lorelei. 2011. Sustainability in a differential equations course: a case study of Easter Island. International Journal of Mathematical Education in Science and Technology. 42(4): 545553.Article Abstract: Easter Island is a fascinating example of resource depletion...

2000Anderson Mormon Church Membership Model
20 Jun 2015   Contributor(s):: Dwayne Anderson
Anderson, Dwayne. 2000. Estimates of the future membership of the Church of Jesus Christ of Latterday Saints. http://www.ldsmormon.com/churchgrowthrates.shtml . Accessed 29 November 2014.Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the...

Population Modeling with M and M's
30 May 2015   Contributor(s):: Brian Winkel
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented. Physical activities involving MandM’s can be modeled by difference equations and several population phenomena, including death and immigration, are studied.