
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...

2017Bullard, Floyd  Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics.
21 Sep 2017   Contributor(s):: Brian Winkel
Bullard, Floyd. 2017. Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics. The North Carolina School of Science and Mathematics . 7 pp. See https://www.ncssm.edu/uploads/files/330468432813721056dediceactivities.pdf .This...

2006Loyd, Alun L. and Dominik Wodarz  Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study.
18 Sep 2017   Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread...

1066SUSCensusModeling
15 Sep 2017   Contributor(s):: Jean Marie Linhart
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

2017Wu, Hulin  Mathematical Biology Models Using Experimental Data
12 Sep 2017   Contributor(s):: Brian Winkel
Wu, Hulin. Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models. PowerPoint. 47 slides._ Inverse Problems and Methods for ODE Models_ Application Examples– Example 1: A Complex...

1994Minton, Roland  A Progression of Projectiles  Examples from Sports.
12 Sep 2017   Contributor(s):: Brian Winkel
Minton, Roland. 1994. A Progression of Projectiles  Examples from Sports. The College Mathematics Teacher. 28(5): 436442.See https://www.maa.org/programs/facultyanddepartments/classroomcapsulesandnotes/aprogressionofprojectilesexamplesfromsports .There is a progression...

2017Liu, Jun  Hammer Throwing parameters optimization model research based on flight dynamical differential equation.
12 Sep 2017   Contributor(s):: Brian Winkel
Liu, Jun. 2017. Hammer Throwing parameters optimization model research based on flight dynamical differential equation. 2016 National Convention on Sports Science of China. Reprint. 4...

2014Do, Tae Sug and Young S. Lee  A Differential Equation Model for the Dynamics of Youth Gambling.
12 Sep 2017   Contributor(s):: Brian Winkel
Do, Tae Sug and Young S. Lee. 2014. A Differential Equation Model for the Dynamics of Youth Gambling. Osong Public Health Res Perspect. 2014 Aug; 5(4): 233–241.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the...

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...

2008Suri, Ratneesh  Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis.
12 Sep 2017   Contributor(s):: Brian Winkel
Suri, Ratneesh. 2008. Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis. 209 pp.This thesis considers how we might optimally harvest using logistic model with constant harvest to determine maximum sustainable yield and optimal economic...

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...

2013Fedewa, Nick , Emily Krause, and Alexandra Sisson  Spread of a Rumor. Class Project.
12 Sep 2017   Contributor(s):: Brian Winkel
Fedewa, Nick , Emily Krause, and Alexandra Sisson. 2013. Spread of a Rumor. Class Project. Central Michigan University. 16 pp.Abstract: Modelling the random spread of a rumor has a long history. In this article we consider a random process that is based on sampling without replacement...

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