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  1. 2008-Li-DE Models For Interacting and Transgenic Mosquito Populations

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    21 Jun 2019 | Potential Scenario Ideas | Contributor(s):: Jai Li

    Article Review and AnnotationLi, Jai. 2008.  Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241-258.Abstract: We formulate and study continuous-time models, based on systems of ordinary differential...

  2. 2014-Huang-ODE Model Application in Prediction Control Population

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    21 Jun 2019 | Potential Scenario Ideas | Contributor(s):: X. M. Huang

    Article Review and Annotation2014-Huang-ODE Model Application in Prediction Control PopulationHuang X. M. 2014.  Ordinary Differential Equation Model and its Application in the Prediction Control of Population. Applied Mechanics and Materials. 631-632: 714-717.Abstract: Ordinary...

  3. 2015-Yrogovchenko-ModelingAlcoholConsumption - PowerPoint

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    16 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented  in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint  presentation has lots of basic data on laws, levels of alcohol, and...

  4. 2008-Will-Hansen-ExamplesOfODEsInPhysics

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

  5. 2013-Gonzalez-Parra-Arenas- A Mathematical Model for Social Security Systems with Dynamical Systems

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Gonzalez-Parra, Gilberto and Abraham J. Arenas. 2014. Ingeniería y Ciencia. 10(19): 1-11.Abstract: In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the...

  6. 2017-Bonin EtAl - Math Modeling Based on ODE for Vaccinology

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

  7. 2004-PhoebusReily-TheParachuteProblem

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004.  https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...

  8. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...

  9. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

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    09 Dec 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...

  10. 2015-ZhangEtAl-Predator Prey Models

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    02 Sep 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Article Review and AnnotationZhang, Xinyu Jiguo Cao,  and Raymond J. Carroll. 2015On the Selection of Ordinary Differential Equation Models with Application to Predator-Prey Dynamical Models. Biometrics 71: 131–138Abstract: We consider model selection and estimation in a context where...

  11. 2008-YangEtAl-A Differential Equation Model of HIV Infection of CD T-Cells with Delay

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    02 Sep 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang. 2008. A Differential Equation Model of HIV Infection of CD T-Cells with DelayAbstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a...

  12. 1984-Hays-CompartmentModelsForHumanIodineMetabolism

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    07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Marguerite Hays

    Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical  Biosciences. 73: 317-335.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...

  13. 2017-Agmour EtAl-OptimizationofFishermenProfitsExploitingCompetingSpecies

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    07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni

    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...

  14. 2017-Allali-MathModelingOfAdaptiveImmunieResponses-HBVInfection

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    07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane

    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...

  15. 2017-Suebcharoen-PredatorPreyModelWithSwitchingForPredator

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    07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: T. Suebchareon

    Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure 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...

  16. 2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes

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    03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Adolfo J. Rumbos

    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...

  17. FirstOrderModels

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    03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Unknown

    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...

  18. LeakingBucket: Differential Equations in Engineering

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    03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Unknown

    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...

  19. The Logistic Differential Equation

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    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...

  20. 2016-Camporesi-Impulsive response method using factorization.

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    03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Roberto Camporesi

    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): 82-99Summary: We present an approach to the impulsive response method for solving...