
1001cSPopulationDecayThenSome
18 Jun 2019   Contributor(s):: Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

1001dSHotelPopulationDecay
03 Jul 2019   Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1018SLogisticPopGrowth
04 Jun 2015   Contributor(s):: Brian Winkel

1067SModelingWithSigmoidCurves
18 Aug 2018   Contributor(s):: Natali Hritonenko
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1087SThanosPopulationDynamics
07 Oct 2019   Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

1109SEmployeeAttrition
25 Mar 2019   Contributor(s):: Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

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....

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...

1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020   Contributor(s):: Brian Winkel
1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR. SIAM J....

1986CookeLinear And Logistic Harvesting ModelsMath Modeling Journal
09 Dec 2018   Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare reviewed. Both...

1992MathewsBoundedPopulationGrowth
12 Mar 2020   Contributor(s):: Brian Winkel
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

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...

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...

2000AndersonMormon 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...

2000IdelsWangHarvesting fisheries management strategies with modified effort function
12 Sep 2017   Contributor(s):: Brian Winkel
Idels, Lev. V. and Mei Wang. 2000. Harvesting Fisheries Management Strategies With Modified Effort Function . Int. J. Modelling, Identification and Control. Preprint.Abstract: In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse...

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...

2005HowardModeling with Differential Equations
10 Sep 2017   Contributor(s):: Brian Winkel
Howard P. 2005. Modeling with ODE. Notes. 48 pp.Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion, the flow of electric current, and the progression of chemical reactions are...

2006ColemanPopModelingWithODENotes
13 Mar 2020   Contributor(s):: Brian Winkel
2006ColemanPopModelingWithODENotesColeman, Michael J. 2006. Population Modeling with Ordinary Differential Equations  Notes. https://www2.gwu.edu/~mathgss/old_site/Slides/MikeC_Seminar.pdfAbstract: Population modeling is a common application of ordinary differential...

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...

2006RuanDelayDifferentialEquationsinSingleSpeciesDynamics
15 Mar 2020   Contributor(s):: Brian Winkel
2006RuanDelayDifferentialEquationsinSingleSpeciesDynamicsRuan, Shigui. 2006. DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS. In O. Arino et al. (eds.), Delay Differential Equations and Applications. Springer, Berlin, 2006, pp. 477517.Contents1. Introduction2....