
2011Harwood, Kenny  Modeling a RLC Circuit's Current with Differential Equations
12 Sep 2017  Contributor(s):: Brian Winkel
Harwood, Kenny. 2011. Modeling a RLC Circuit’s Current with Differential Equations. Paper. 17 pp.Abstract The world of electricity and light have only within the past century been explained in mathematical terms yet still remain a mystery to the human race. R. Buckminster Fuller said;...

2017Patel, Shail and Antoine Schlijper  Models of Consumer Behavior
12 Sep 2017  Contributor(s):: Brian Winkel
Patel, Shail and Antoine Schlijper. Models of Consumer Behavior. Unilever. Paper. 63 pp.The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fastmoving consumer goods. Such models must take...

2018Bourne, David W. A.  Pharmacokinetics – Source Material
12 Sep 2017  Contributor(s):: Brian Winkel
Phamacokinetics –PHAR 7834. https://www.boomer.org/c/p4/?Loc=OUHSC33 . Accessed 11 September 2017.This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.Online ResourcesBackground Mathematical...

2009Unknown  Bifurcation Analysis
12 Sep 2017  Contributor(s):: Brian Winkel
2009. Bifurcation Analysis – One Dimensional ODEs. Notes. 11 pp.This document contains many rich illustrations of various kinds of bifurcation in the context of applications. E.g. harvesting, magnetometer, spruce budworm,Kywords: differential equation, model, bifurcation, analysis,...

2017University of Michigan  Math 216 Demonstrations
12 Sep 2017  Contributor(s):: Brian Winkel
Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with...

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...

2017Shi, Junping  Modeling Population Growth Single Species
12 Sep 2017  Contributor(s):: Brian Winkel
Shi, Junping. Modeling Population Growth Single Species. Activities Notes. 4 pp.This is a set of descriptions of various logistic models. Keywords: differential equation, model, harvest, Gompertz, Allee effect, constant harvest

2000Idels, Lev. V. and Mei Wang  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.See https://arxiv.org/ftp/math/papers/0601/0601539.pdf .Abstract: In traditional harvesting model a fishing effort E is...

2010Steinworkth, Bailey, Yuhui Wand, and Xing Zhang  Modeling of a Fish Population and the Effects of Overfishing.
12 Sep 2017  Contributor(s):: Brian Winkel
Steinworkth, Bailey, Yuhui Wand, and Xing Zhang. 2010. Modeling of a Fish Population and the Effects of Overfishing. Student Project. James Madison University. 22 pp.Abstract: According to the United Nations, 200 million people depend on fishing as their source of food or livelihood.1...

2015Sebesyen, G. S. and I Farago  Invasive Species Model with Linear Rat Harvesting on Easter Island.
12 Sep 2017  Contributor(s):: Brian Winkel
Sebesyen, G. S. and I Farago. 2015. Invasive Species Model with Linear Rat Harvesting on Easter Island. J Appl Computat Math. 4(6): 16.See https://www.researchgate.net/publication/294108452_Invasive_Species_Model_with_Linear_Rat_Harvesting_on_Easter_Island .From the paper we...

2017Roux, Jean Mathematical Models in Air Quality Problems  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
Roux, Jean. Mathematical Models in Air Quality Problems. Notes. 26 pages.Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.Keywords: differential equation, model, finite difference, chemical kinetics,...

2014Niemann, Henrik and Robert Miklos  A Simple Method for Estimation of Parameters in First order Systems.
11 Sep 2017  Contributor(s):: Brian Winkel
Niemann, Henrik and Robert Miklos. 2014. A Simple Method for Estimation of Parameters in First order Systems. Systems. Journal of Physics: Conference Series. 570: 112.See https://iopscience.iop.org/article/10.1088/17426596/570/1/012001/pdf .Abstract: A simple method for...

2004Rescigno, Aldo  On the use of pharmacokinetic models.
11 Sep 2017  Contributor(s):: Brian Winkel
Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 46574676.See https://tauruspet.med.yale.edu/staff/edm42/courses/ENAS_915_2014/papers/Rescignouse%20of%20models%20PMB%202004%20%2000319155_49_19_014.pdf .Abstract: Extensive use of models in...

2013Rumbos, Adolfo  Mathematicd Modeling
11 Sep 2017  Contributor(s):: Brian Winkel
Rumbos, Adolfo. 2013. Mathematics Modeling. Draft Text. 95 pp.Chapter 3 deals with traffic flow models and does a terrific job in explaining the model building of the partial differential equation for traffic density at position x and time t. It then goes on to solve and interpret the...

2009Mallett, Travis and Josh Fetbrandt  Differential Equations Class Notes.
11 Sep 2017  Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

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...

2017Morin, David  Oscillations  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in...

2011Nguyen, Olivia and Xiaoyu Shi  Modeling the absorption, circulation, and metabolism of tirapazamine
11 Sep 2017  Contributor(s):: Brian Winkel
Nguyen, Olivia and Xiaoyu Shi. 2011. Modeling the absorption, circulation, and metabolism of tirapazamine.http://www.isn.ucsd.edu/courses/beng221/problems/2011/project02.pdf . Accessed 10 Sept 2017.This apparently is a student project and it develops the kinetic model, uses...

2007Chern, ILiang  Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017  Contributor(s):: Brian Winkel
Chern, ILiang. 2007. Mathematical Modeling and Differential Equations. Notes. 223 pp.See http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real world by observations, collecting...

2013Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers  Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems.
11 Sep 2017  Contributor(s):: Brian Winkel
Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers. 2013. Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems. The College Mathematics Journal. 44(5):...