18 Jun 2019 | | Contributor(s):: Dina Yagodich
This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration 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.
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.
04 Jun 2015 | | Contributor(s):: Brian Winkel
18 Aug 2018 | | Contributor(s):: Natali Hritonenko
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...
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...
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...
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): 265-276.Abstract: In this paper a number of population models, which lead to differential equations, are derived....
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): 467-473This paper raises many interesting questions about teaching the formation (and solution) of differential...
1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020 | | Contributor(s):: Brian Winkel
1977-Freedman-Mathematical 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....
1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal
09 Dec 2018 | | Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...
12 Mar 2020 | | Contributor(s):: Brian Winkel
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169-176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...
07 Sep 2017 | | Contributor(s):: Brian Winkel
Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5): 394-400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...
1998Claus-McGahan-Modeling Projects In DE Course
05 Sep 2017 | | Contributor(s):: Brian Winkel
Claus-McGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137-149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...
2000-Anderson-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 Latter-day Saints. http://www.lds-mormon.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...
2000-IdelsWang-Harvesting 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...
08 Sep 2017 | | Contributor(s):: Brian Winkel
Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools. The Mathematics Educator. 6(1): 63-75. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...
2005-Howard-Modeling 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...
13 Mar 2020 | | Contributor(s):: Brian Winkel
2006-Coleman-PopModelingWithODE-NotesColeman, 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...
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): 559-571.Abstract: This paper deals with a prey–predator model...
15 Mar 2020 | | Contributor(s):: Brian Winkel
2006-Ruan-DelayDifferentialEquationsinSingleSpeciesDynamicsRuan, Shigui. 2006. DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS. In O. Arino et al. (eds.), Delay Differential Equations and Applications. Springer, Berlin, 2006, pp. 477-517.Contents1. Introduction2....