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  1. 2006-Coleman-PopModelingWithODE-Notes

    13 Mar 2020 | Contributor(s): Brian Winkel

    2006-Coleman-PopModelingWithODE-NotesColeman, Michael J.  2006. Population Modeling with Ordinary Differential Equations - Notes. https://www2.gwu.edu/~mathgss/old_site/Slides/MikeC_Seminar.pdfAbstract: Population modeling is a common application of ordinary differential...

  2. 2006-CookeEtAlPred-PreyWithDelaysDueToJuvinileMaturation

    13 Mar 2020 | Contributor(s): Brian Winkel

    2006-CookeEtAlPred-PreyWithDelaysDueToJuvinileMaturationCOOKE, KENNETH L., RICHARD H. ELDERKIN, AND WENZHANG HUANG. 2006. PREDATOR-PREY INTERACTIONS WITH DELAYS DUE TOJUVENILE MATURATION. SIAM J. APPL. MATH.  66(3): 1050-1079. Abstract: This paper focuses on...

  3. 2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology

    13 Mar 2020 | Contributor(s): Brian Winkel

                    Text Books on Mathematical Modeling in BiologyCompiled from the Internet by Michael Knorrenschild,modified by Louis Gross, Oct. 1995, May 2000, March 2001, June 2003 Allan, Linda J....

  4. 1972-Sethi-OptControlAdvertisingModel

    13 Mar 2020 | Contributor(s): Brian Winkel

    1972-Sethi-OptControlAdvertisingModelSethi, Suresh. 1972. Optimal Control of the Vidale-Wolfe Advertising Model. Operations Research.  21(4). Preprint.Introduction.As one of the earliest management science applications to marketing, Vidale and Wolfe developed a simple model of...

  5. 2015-Luttmer-FourModelsOfKnowledgeDiffusionGrowth

    13 Mar 2020 | Contributor(s): Brian Winkel

    2015-Luttmer-FourModelsOfKnowledgeDiffusionGrowthLuttmer, Erzo G.J. 2015. Four Models of Knowledge Diffusion and Growth. Working Paper. Federal Reserve Bank of Minneapolis, Research...

  6. 2015-EhangEtAL-DEs in Puppet Making

    13 Mar 2020 | Contributor(s): Brian Winkel

    2015-EhangEtAL-DEs in Puppet MakingLiang, Hui, Jian Chang, Xiaosong Yang, Lihua You, Shaojun Bian, Jian Jun Zhang. 2015. Advanced ordinary differential equation based head modelling for Chinese marionette art preservation. Computer Animation and Virtual Worlds. 26(3-4).AbstractPuppetry...

  7. 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):...

  8. 2003-Bohren-FallingBodies - DimensionalAnalysis

    13 Mar 2020 | Contributor(s): Brian Winkel

    2003-Bohren-FallingBodies - DimensionalAnalysisBohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534-537.Abstract: Dimensional analysis is a simple, physically transparent and intuitive...

  9. 2003-Givens-Direct observation of normal modes in coupled oscillators

    13 Mar 2020 | Contributor(s): Brian Winkel

    Givens, Ryan and O. F. de Alcantara Bonfima. 2003.Direct observation of normal modes in coupled oscillators.  From  Physics Commons.  https://pilotscholars.up.edu/phy_facpubs/6/. Abstract: We propose a simple and inexpensive method to directly observe each...

  10. 1992-Mathews-BoundedPopulationGrowth

    12 Mar 2020 | Contributor(s): Brian Winkel

    Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169-176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

  11. 2005-Hirst-UsingHistoricalDevelopmentPredator-PreyModelsToTeachMathModeling

    12 Mar 2020 | Contributor(s): Brian Winkel

    Hirst, H. P. 2005. Using the Historical Development of Predator-Prey Models toTeach Mathematical Modeling, in From Calculus to Computers: Using thelast 200 years of mathematics history in the classroom. Washington DC: MathematicalAssociation of America. 7 pp. 

  12. 2015-KahnEtAL-DifferentialEquationsTumorGrowth

    12 Mar 2020 | Contributor(s): Brian Winkel

    2015. Khan1, Moharram A., Sirazul Haq, Umaru Musa, and Aligarh Muslim  How differential equations influence the tumor growth via mathematical models.  Mathematical Theory and Modeling. 5(8): 187-194.Abstract: This work demonstrates the importance of differential equations to develop...

  13. 1972-Rothermal-MathModelForPredictingFireSPreadInWildlandFules

    12 Mar 2020 | Contributor(s): Brian Winkel

    Rothermel, R. C, 1972. A Mathematical Model for Predicting Fire Spread in Wildland Fuels. Intermountain Forest and Range Experiment Station. Ogden UT USA. 44 pp. Pamphlet. Research Paper INT-116 1972.Abstract: The development of a mathematical model for predicting rate of fire spread and...

  14. 2015-CanoEtAl-Bringing PDEsToLifeForStudents

    12 Mar 2020 | Contributor(s): Brian Winkel

    Bringing partial differential equations to life for students2015. Cano, María José Eliseo Chacón-Vera, and Francisco Esquembre. Bringing partial differential equations to life for students. European Journal of Physics. 26: 1-15Abstract: Teaching partial differential...

  15. 1998-LouieEtAl-AnalysisOfDifferentialEquationModelsCloverMeristemPopulations.

    12 Mar 2020 | Contributor(s): Brian Winkel

    1998. Louie, K. H. Clark, and P. C. D. Newton. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567-576Abstract: Biological scenarios are given in which it is more appropriate to use...

  16. 2002-Medlock-Mathematical Modeling of Epidemics

    12 Mar 2020 | Contributor(s): Brian Winkel

    2002. Medlock, J. Mathematical Modeling of Epidemics. Talk Given.AbstractEach year, millions of people worldwide die from infectious diseases such as measles, malaria, tuberculosis, HIV. While there are many complicating factors, simple mathematical models can provide much insight into the...

  17. 2003-Ellermeyer-ModelingViaDEs

    12 Mar 2020 | Contributor(s): Brian Winkel

    2003. Ellermeyer, S. F. Modeling Via Differential EquationsAbstract:  Mathematical modeling via differential equations is introduced. We partially follow the approach in Section 1.1 of the Blanchard, Devaney, and Hall text book.

  18. 2004- HillEtAl-Experiments on ice spikes and a simple growth model

    12 Mar 2020 | Contributor(s): Brian Winkel

    2004. Lesley Hill, Lesley, Edward Lozowski, and Russell D. Sampson. Experiments on ice spikes and a simple growth model.  Journal of Glaciology. 50(170): 375-381. 2004.ABSTRACT. Ice-spike observations in nature have sparked much interest in the scientific and non-scientific communities...

  19. 3-063-S-FallingBuildingIce

    07 Mar 2020 | Modeling Scenarios | Contributor(s): Brian Winkel

    We model the fall of a piece of ice which is falling from a high building in New York City.

  20. 1-030-Text-S-RandomPerturbation

    05 Mar 2020 | Technique Narratives | Contributor(s): Reza Ahangar

    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations. Students in their semester research project under a course “special topics” or “independent study” will learn a past...