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:...
26 Nov 2017 | | Contributor(s):: Brian Winkel
2010. Hussein, Shaza. Predator-Prey Modeling. Undergraduate Journal of Mathematical Modeling: One + Two. 3(1): Article 20. http://scholarcommons.usf.edu/ujmm/vol3/iss1/32 . Accessed 27 November 2017.Abstract. Predator-prey models are useful and often used in the environmental...
2002-dePills-Radunskaya-Parameter Estimation for Tumor-Immune ODE
21 Sep 2017 | | Contributor(s):: Brian Winkel
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for Tumor-Immune ODE System, 24 slides.This is a very thorough and complete introduction to estimating parameters for a simple differential equation model with attention to all the mathematical details necessary for success in...
2001-KerleyKnisley-Using data to motivate models in differential equations
11 Sep 2017 | | Contributor(s):: Brian Winkel
Knisley, Jeff and Lyndell Kerley. 2001. Using data to motivate the models used in introductory differential equations. PRIMUS. 11(20): 111-123.Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom...
1999-MeyerAusubel-Carrying Capacity: Logistically Varying Limits
25 Jun 2015 | | Contributor(s):: Jesse H. Ausubel, Perrin S. Meyer
Meyer, Perrin S. and Jesse H. Ausubel. 1999. Carrying Capacity: A Model with Logistically Varying Limits. Technological Forecasting and Social Change. 61(3): 209-214.This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This...
2011Kreith Mathematics of Global Change
25 Jun 2015 | | Contributor(s):: Kurt Kreith
Kreith, Kurt. 2011. The Mathematics of Global Change. The Journal of Mathematics Education at Teachers College. Fall-Winter, Volume 2: 37-44.The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay. The...
2014Danielsen Sørensen Using authentic sources in teaching logistic growth: A narrative design perspective.
22 Jun 2015 | | Contributor(s):: Kristiain Danielson, Henrik Kragh Sørensen
Danielsen, Kristian and Henrik Kragh Sørensen. 2014. Using authentic sources in teaching logistic growth: A narrative design perspective. Downloaded from http://www.henrikkragh.dk/logistisk-vaekst/ESU-handouts.pdf . Accessed on 31 May 2015.This 12 page offering develops issues and...
2011Winkel Parameter Estimates in Differential Equation Models for Population Growth
20 Jun 2015 | | Contributor(s):: Brian Winkel
Winkel, B. 2011. Parameter Estimates in Differential Equation Models for Population Growth. PRIMUS. 21(2): 101-129.Article Abstract: We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species...
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 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...
1997Shulman Using Original Sources to Teach the Logistic Equation
20 Jun 2015 | | Contributor(s):: Bonnie Shulman
Shulman, Bonnie. 1997. Module 766 - Using Original Sources to Teach the Logistic Equation. COMAP: 163-190. Downloaded FREE from https://www.academia.edu/4372451/Using_Original_Sources_to_Teach_the_Logistic_EquationThis is the actual module.ABSTRACT: This Module uses original...
Spuyten Duyvil Undergraduate Mathematics Conference, 2015 April 16, Manhattan College, Bronx NY - Modeling First Teaching of Differential Equations – SIMIODE
11 May 2015 | | Contributor(s):: Brian Winkel
For the 10th Annual Spuyten Duyvil Undergraduate Mathematics Conference, Manhattan CollegeModeling First Teaching of Differential Equations – SIMIODE0930, 16 April 2015 Miguell Hall 207Brian Winkel, PROF Emeritus,Mathematical Sciences,United States Military AcademyWest Point NY 10996...