
2017Cooper, Kevin  IDEA  Internet Differential Equations Activities
08 Nov 2017  Contributor(s):: Brian Winkel
Cooper, Kevin. IDEA  Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of IDEA  Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...

2002de Pillis, L. G. and A. E. Radunskaya  Parameter Estimation for TumorImmune ODE System. Slides.
21 Sep 2017   Contributor(s):: Brian Winkel
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for TumorImmune ODE System, 24 slides. See https://pages.pomona.edu/~aer04747/TumorModule/parameter_estimation.pdf . This is a very thorough and complete introduction to estimating parameters for a simple differential...

2011Wentworth, Corinne, Masami Fujiwara, and Jay Walton  Optimal harvesting models for fishery populations.
12 Sep 2017   Contributor(s):: Brian Winkel
Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011. Optimal harvesting models for fishery populations. REU paper. 17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population...

2010Keesom, No'am , Trisha Macrae, Anjuli Uhlig, and Richard Wang  Fishing for Answers: Investigating Sustainable Harvesting Rate.
12 Sep 2017   Contributor(s):: Brian Winkel
Keesom, No’am , Trisha Macrae, Anjuli Uhlig, and Richard Wang. 2010. Fishing for Answers: Investigating Sustainable Harvesting Rate. Paper 11 pp.Abstract: The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be...

2013Idlango, Majda  Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis.
12 Sep 2017   Contributor(s):: Brian Winkel
Idlango, Majda. 2013. Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis. 181 pp.Summary: Many investigations have been carried out that analyse population dynamics using differential equations where the governing parameters of the models concerned are...

2017Kallen, Anders  Single species models in continuous time
12 Sep 2017   Contributor(s):: Brian Winkel
Kallen, Anders. Single species models in continuous time. Lecture notes. 4 pp.http://www.maths.lth.se/matematiklth/personal/andersk/kurser/biomath2016/F4.pdf . Accessed 11 Septembe 2017.Part of a series of Lecture notes this lecture contains rich materials on logistic harvest...

2001Knisley, Jeff and Lyndell Kerley  Using data to motivate the models used in introductory 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(2): 111123.See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 .Abstract: Although data is often used to estimate parameters for models in...

2012Bourne, Murray  Modeling fish stocks.
10 Sep 2017   Contributor(s):: Brian Winkel
Bourne, Murray. 2012. BourneModeling fish stocks.https://www.intmath.com/blog/mathematics/modelingfishstocks7377 . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...

2005Lie, Knut–Andreas  Introduction to Mathematical Modelling: Ordinary Differential Equations and Heat Equations
10 Sep 2017   Contributor(s):: Brian Winkel
Lie, Knut–Andreas. 2005. Introduction to Mathematical Modelling: Ordinary Differential Equations and Heat Equations. SINTEF ICT, Dept. Applied Mathematics PowerPoint slide. 45 slides. www.uio.no/studier/emner/matnat/ifi/INF2340/v05/foiler/sim02.pdf . Accessed 9 September...

2012Mahaffy, Joseph M.  Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint
10 Sep 2017   Contributor(s):: Brian Winkel
Mahaffy, Joseph M. 2012. Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint. 128 slides. See http://jmahaffy.sdsu.edu/courses/f11/math122/beamer_lectures/intro_de.pdf . Accessed 9 September 2017. Here is the outline of the...

2001Cheng, Ang Keng  Teaching mathematical modelling in Singapore schools
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 Educators.See https://repository.nie.edu.sg//handle/10497/49 .From Introduction, “The purpose of this paper is to...

2013Caldwell, Alicia  Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
08 Sep 2017   Contributor(s):: Brian Winkel
Caldwell, Alicia. 2013. Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data. Utah State University. All Graduate Plan B and other Reports. Paper 330.See https://digitalcommons.usu.edu/gradreports/330/ .Abstract: Students rarely...

2007Luo, Hui  Population 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.See http://mds.marshall.edu/etd/713/ . Accessed 4 September 2017.Abstract: A general model for the population of Tibetan antelope is...

2001Tsoularis, A.  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.

2016Harwood, Corban  Logistics of Mathematical ModelingFocused Projects
17 Sep 2016   Contributor(s):: Richard Corban Harwood
Projects provide tangible connections to course content and can motivate students to learn at a deeper level. This article focuses on the implementation of projects in both lower and upper division math courses which develop and analyze mathematical models of a problem based upon known data and...

1033SSouthernBarbeque
22 Jun 2016   Contributor(s):: Troy Henderson
We offer raw data collected from two thermometers used in the smoking process of Southern barbecue. One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat. This data can be used to model and predict the amount...

1024SMalariaControl
06 May 2016   Contributor(s):: David Culver
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and nonlinear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

1022SSpreadOfTechnology
27 Nov 2015   Contributor(s):: Brian Winkel
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.

1999Meyer, Perrin S. and Jesse H. Ausubel  Carrying Capacity: A Model with 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): 209214.See https://phe.rockefeller.edu/wpcontent/uploads/2019/09/cc5.pdf .This paper extends the logistic...