
6026SFakingGause
30 Oct 2020   Contributor(s):: Brian Winkel
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competiton in the 1930's studies of G.~F.~Gause in the Soviet Union.

1136SMarriageAge
11 Jun 2020   Contributor(s):: Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

1124SWorldPopulation
30 May 2020   Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

6045SCholeraTranmission
19 Apr 2020   Contributor(s):: Urmi GhoshDastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

2018GreerLivesayMathematical Epidemiology Goes to College
01 Apr 2020   Contributor(s):: Brian Winkel
2018GreerLivesayMathematical Epidemiology Goes to CollegeGreer, Meredith and Ella Livesay. 2018. Mathematical Epidemiology Goes to College. Math Horizons. 25(3): 811.From Introduction:Every year waves of illnesses sweep through college campuses. This seems a...

1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020   Contributor(s):: Brian Winkel
1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR. SIAM J....

2018JosephBalamuralitharan  Nonlinear DE model of Asthma Effects
01 Apr 2020   Contributor(s):: Brian Winkel
2018JosephBalamuralitharan  Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM. IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

2007ChoisyEtAlMathematicalMdelingOfInfectiousDiseasesDynamics
01 Apr 2020   Contributor(s):: Brian Winkel
2007ChoisyEtAlMathematicalMdelingOfInfectiousDiseasesDynamicsChoisy, M., J.F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases Dynamics.From Introduction: After presenting general notions of mathematical modeling (Section 22.2) and the nature of...

2018BrinksIllnessDeathModelInChronicDiseaseEpidemiology
29 Mar 2020   Contributor(s):: Brian Winkel
2018BrinksIllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. IllnessDeath Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

2013PescitelliLotkaVolterraPredatorPreyWithPredatingScavenger
29 Mar 2020   Contributor(s):: Brian Winkel
2013PescitelliLotkaVolterraPredatorPreyWithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra PredatorPrey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....

2015AudestadSomeDynamicMarketModels
26 Mar 2020   Contributor(s):: Brian Winkel
2015AudestadSomeDynamicMarketModelsAudestad, Jan A. 2015. Some Dynamic Market Models. Norwegian University of Science and Technology, Gjøvik University College. SMall Text. 49 pp.ABSTRACT:In this text, we study the behavior of markets using models expressible as...

2018BaxterModeling Public Opinion
26 Mar 2020   Contributor(s):: Brian Winkel
2018BaxterModeling Public OpinionBaxter, Arden. 2018. Modeling Public Opinion. Rollins College.1 IntroductionPopulation models are used to study the dynamics of a population. In particular, dynamic population models are applied to populations that gain and lose...

2009ChellaboinaEtAlModelingAndAnalysisMassActionKinetics
26 Mar 2020   Contributor(s):: Brian Winkel
2009ChellaboinaEtAlModelingAndAnalysisMassActionKineticsCHELLABOINA, VIJAYSEKHAR, SANJAY P. BHAT, WASSIM M. HADDAD, and DENNIS S. BERNSTEIN. 2009. Modeling And Analysis  Mass Action Kinetics. IEEE Control Systems Magazine. August. 6078.From the...

2014BodineDiscreteDifferenceEquations
26 Mar 2020   Contributor(s):: Brian Winkel
2014BodineDiscreteDifferenceEquationsBodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many dierent means for modeling the...

2016RodriguezApplicationOfSIRModel
20 Mar 2020   Contributor(s):: Brian Winkel
2016RodriguezApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 9297. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

2008Chernyshov EtAlModeling EconomicDynamicsInDifferentialForm
15 Mar 2020   Contributor(s):: Brian Winkel
2008Chernyshov EtAlModeling EconomicDynamicsInDifferentialFormChernyshov, S. I.. V. S. Ponomarenko, and A. V. Voronin. 2008. The Problem of Modelling of Economic Dynamicsin Differential Form. Notes. 35 pp.Introduction:The authors have tried to analyze procedures...

2019FanEtALImpact of environmental tax on green development_ A nonlinear dynamical system analysis
13 Mar 2020   Contributor(s):: Brian Winkel
2019FanEtALImpact of environmental tax on green development_ A nonlinear dynamical system analysisFan, Xinghua, Xuxia Li, and Jiuli Yin. 2019. Impact of environmental tax on green development: A nonlinear dynamical system analysis. PLos One. 14(9):...

Lester Ingber
Prof. Lester Ingber has published over 100 papers and books in theoretical physics, neuroscience, finance, optimization, combat analysis, karate, and education. Through Lester Ingber Research (LIR)...
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9005SInvasiveSpeciesModel
08 Aug 2019   Contributor(s):: Eric Stachura
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...

1063SThreeHoleColumn
15 Dec 2018   Contributor(s):: Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.