
1066TUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions. Analysis of the perunit population growth leads to an understanding of the assumptions underlying each model. Parameters in...

1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

WuMathematical Biology Models Using Experimental Data
12 Sep 2017  Potential Scenario Ideas
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 Influenza...

1994MintonProgression of Projectiles  Examples from Sports
12 Sep 2017  Potential Scenario Ideas
Minton, Roland. 1994. A Progression of Projectiles  Examples from Sports. The College Mathematics Teacher. 28(5): 436442.There is a progression of complexity and issues in projectile motion modeling from no rsistance, to resistance proportional to velocity, then to velocity...

2017LiuHammer throwing parameter optimization model research based on flight dynamical differential equation
12 Sep 2017  Potential Scenario Ideas
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 pp.Abstract. With progress of times, sports techniques are also rapidly developing, in order to let...

2014DoEtAlDifferential Equation Model for the Dynamics of Youth Gambling
12 Sep 2017  Potential Scenario Ideas
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.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the dynamics...

2011WentworthEtAlOptimal harvesting models for fishery populations
12 Sep 2017  Potential Scenario Ideas
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 but...

2008SuriOptimal harvesting strategies for fisheries
12 Sep 2017  Potential Scenario Ideas
Suri, Ratneesh2008Optimal 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...

1986CookeWitten Onedimensional linear and logistic harvest models
12 Sep 2017  Potential Scenario Ideas
Cooke, Kenneth L. and Matthew Witten. 1986. Onedimensional linear and logistic harvest models. Mathematical Modelling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare...

2010KeesomEtAlFishing for answers  investigationg sustainable harvesting rate models
12 Sep 2017  Potential Scenario Ideas
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 determined...

2013Idlango Differential Equation Population Models in a Slowly Varying Environment
12 Sep 2017  Potential Scenario Ideas
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...

Math Modeling with Differential Equations  Interesting Tank Problem
12 Sep 2017  Potential Scenario Ideas
Math Modeling with Differential Equations  Interesting Tank ProblemMath Modeling with Differential Equations  Interesting Tank Problem . Class Notes on five problems.,Several models are workd out including exponential decay, bullet traveling with resisitance, This material contains a solution...

2013FedewaEtAlSpread of a Rumor
12 Sep 2017  Potential Scenario Ideas
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...

2011HarwoodModeling a RLC Circuit
12 Sep 2017  Potential Scenario Ideas
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;...

2010XieMotivating Examples from Differential Equations for Engineers
12 Sep 2017  Potential Scenario Ideas
Xie, WeiChau. 2010. Differential Equations for Engineers. Cambridge UK Cambridger Universiyt Press. Excerpts. 45 pp.This document contains many rich motivating modeling activities from the original text. Covered are tanks, cables, motion, beam, ferry crossing, bar, circuits, RLC, spring mass,...

PatelSchlijperModels of Consumer Behavior
12 Sep 2017  Potential Scenario Ideas
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...

Pharmacokinetics – Source Material
12 Sep 2017  Potential Scenario Ideas
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...

2009Bifurcation Analysis
12 Sep 2017  Potential Scenario Ideas
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,...

Math 216 Demonstrations
12 Sep 2017  Potential Scenario Ideas
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 spring...

KallenSingle species models in continuous time
12 Sep 2017  Potential Scenario Ideas
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 models,...