
6018SExploringSIRModel
30 May 2018  Modeling Scenarios
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...

6018SExploringSIRModel
30 May 2018  Modeling Scenarios
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...

1984HaysCompartmentModelsForHumanIodineMetabolism
07 Mar 2018  Potential Scenario Ideas
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

2017Agmour EtAlOptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018  Potential Scenario Ideas
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

2017AllaliMathModelingOfAdaptiveImmunieResponsesHBVInfection
07 Mar 2018  Potential Scenario Ideas
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...

2017SuebcharoenPredatorPreyModelWithSwitchingForPredator
07 Mar 2018  Potential Scenario Ideas
Suebcharoen, T. 2017. Analysis of a PredatorPrey Model with Switching and StageStructure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...

2017SuebcharoenPredatorPreyModelWithSwitchingForPredator
07 Mar 2018  Potential Scenario Ideas
Suebcharoen, T. 2017. Analysis of a PredatorPrey Model with Switching and StageStructure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...

2017RumbosDifferentialEquaitonsANDModelingLectureNotes
03 Mar 2018  Potential Scenario Ideas
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...

FirstOrderModels
03 Mar 2018  Potential Scenario Ideas
Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a mathematical...

LeakingBucket: Differential Equations in Engineering
03 Mar 2018  Potential Scenario Ideas
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

2015SivakumarRajendranKineticModelBananaWaste
03 Mar 2018  Potential Scenario Ideas
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 714.Abstract: The initial value problem in a kinetic model for biogas generation from...

2016CamporesiImpulsive response method using factorization.
03 Mar 2018  Potential Scenario Ideas
Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 8299Summary: We present an approach to the impulsive response method for solving...

The Logistic Differential Equation
03 Mar 2018  Potential Scenario Ideas
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018  Free Online Texts
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a selfpublished text book with excellent coverage and solid mathematics and theory to support...

2007Bellomo EtAlLectureNotesMathModelingInAppliedScience
03 Mar 2018  Potential Scenario Ideas
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

HohenauerPhysical modelling based on first order ODEs
03 Mar 2018  Potential Scenario Ideas
Hohenauer, W. Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract: An introduction in techniques to solve first order ODE´s is given....

2003RasmussenKeynesLinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations
03 Mar 2018  Potential Scenario Ideas
Rasmussen, Chris and Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations. PRIMUS. 13(4): 308320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

2009Das EtAl BioeconomicHarvestingJBioDynamics
03 Mar 2018  Potential Scenario Ideas
Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a prepredator fishery. Journal of Biological Dynamics. 3(5): 447462.Abstract: This paper deals with the problem of nonselective harvesting of a prey–predator system by using a reasonable catchrate function...

Modeling the Opioid Epidemic in the United States
19 Jan 2018  Potential Scenario Ideas
Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West, Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

Yagodich, Winkel, Skerbitz, Harwood  Panel  Experience with Engaging in Modeling in a Differential
19 Jan 2018  Presentations
Panel  Experience with Engaging in Modeling in a DifferentialBy Dina Yagodich, Frederick Community Colllege; Brian Winkel, SIMIODE; Bill Skerbitz, Wayzata High School; Corban Harwood, George Fox University.A panelgiven at the AMS Special Session on Modeling in Differential Equations...