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6-026-S-FakingGause
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.
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1-136-S-MarriageAge
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 first-order ordinary differential equations (which...
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1-124-S-WorldPopulation
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 x-y-S-Title-StudentVersion-Czech.
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6-045-S-CholeraTranmission
19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar
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...
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2018-GreerLivesay-Mathematical Epidemiology Goes to College
01 Apr 2020 | | Contributor(s):: Brian Winkel
2018-GreerLivesay-Mathematical Epidemiology Goes to CollegeGreer, Meredith and Ella Livesay. 2018. Mathematical Epidemiology Goes to College. Math Horizons. 25(3): 8-11.From Introduction:Every year waves of illnesses sweep through college campuses. This seems a...
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1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020 | | Contributor(s):: Brian Winkel
1977-Freedman-Mathematical 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....
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2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma Effects
01 Apr 2020 | | Contributor(s):: Brian Winkel
2018-Joseph-Balamuralitharan - 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:...
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2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamics
01 Apr 2020 | | Contributor(s):: Brian Winkel
2007-ChoisyEtAl-MathematicalMdelingOfInfectiousDiseasesDynamicsChoisy, 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...
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2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiology
29 Mar 2020 | | Contributor(s):: Brian Winkel
2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...
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2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavenger
29 Mar 2020 | | Contributor(s):: Brian Winkel
2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....
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2015-Audestad-SomeDynamicMarketModels
26 Mar 2020 | | Contributor(s):: Brian Winkel
2015-Audestad-SomeDynamicMarketModelsAudestad, 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...
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2018-Baxter-Modeling Public Opinion
26 Mar 2020 | | Contributor(s):: Brian Winkel
2018-Baxter-Modeling 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...
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2009-ChellaboinaEtAl-ModelingAndAnalysis-MassActionKinetics
26 Mar 2020 | | Contributor(s):: Brian Winkel
2009-ChellaboinaEtAl-ModelingAndAnalysis-MassActionKineticsCHELLABOINA, VIJAYSEKHAR, SANJAY P. BHAT, WASSIM M. HADDAD, and DENNIS S. BERNSTEIN. 2009. Modeling And Analysis - Mass Action Kinetics. IEEE Control Systems Magazine. August. 60-78.From the...
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2014-Bodine-DiscreteDifferenceEquations
26 Mar 2020 | | Contributor(s):: Brian Winkel
2014-Bodine-DiscreteDifferenceEquationsBodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many di erent means for modeling the...
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2016-Rodriguez-ApplicationOfSIRModel
20 Mar 2020 | | Contributor(s):: Brian Winkel
2016-Rodriguez-ApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 92-97. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...
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2008-Chernyshov EtAl-Modeling EconomicDynamicsInDifferentialForm
15 Mar 2020 | | Contributor(s):: Brian Winkel
2008-Chernyshov EtAl-Modeling 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...
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2019-FanEtAL-Impact of environmental tax on green development_ A nonlinear dynamical system analysis
13 Mar 2020 | | Contributor(s):: Brian Winkel
2019-FanEtAL-Impact 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):...
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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)...
https://simiode.org/members/4402
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9-005-S-InvasiveSpeciesModel
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...
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1-063-S-ThreeHoleColumn
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.