Tags: model

All Categories (1-20 of 262)

  1. 7-011-Text-S-CoupledSystemLaplace

    31 Mar 2019 | Technique Narratives | Contributor(s): Mitaxi Mehta

    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the...

    https://simiode.org/resources/6033

  2. 1-125-S-DiceyPopulations

    04 Mar 2019 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis...

    https://simiode.org/resources/5923

  3. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

    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...

    https://simiode.org/resources/5786

  4. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

    https://simiode.org/resources/5402

  5. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

    https://simiode.org/resources/5172

  6. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios | Contributor(s): Darrell Weldon Pepper

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

    https://simiode.org/resources/5160

  7. 1-118-S-SolowEconomicGrowth

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Yuri Yatsenko

    https://simiode.org/resources/5114

  8. 7-040-S-TankInterruptMixing

    22 Aug 2018 | Modeling Scenarios | Contributor(s): Norman Loney

    We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    https://simiode.org/resources/5103

  9. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios | Contributor(s): Natali Hritonenko

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    https://simiode.org/resources/5008

  10. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics --...

    https://simiode.org/resources/4993

  11. 1-131-S-CaffeineElimination

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a reaction in the language of pharmacokinetics -- the study of how drugs...

    https://simiode.org/resources/4976

  12. 1-130-S-AspirinAbsorption

    15 Aug 2018 | Modeling Scenarios | Contributor(s): Therese Shelton

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the...

    https://simiode.org/resources/4963

  13. 6-018-S-ExploringSIRModel

    30 May 2018 | Modeling Scenarios | Contributor(s): Stanley Florkowski, Ryan Miller

    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...

    https://simiode.org/resources/4795

  14. 1984-Hays-CompartmentModelsForHumanIodineMetabolism

    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...

    https://simiode.org/resources/4472

  15. 2017-Agmour EtAl-OptimizationofFishermenProfitsExploitingCompetingSpecies

    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...

    https://simiode.org/resources/4470

  16. 2017-Allali-MathModelingOfAdaptiveImmunieResponses-HBVInfection

    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...

    https://simiode.org/resources/4468

  17. 2017-Suebcharoen-PredatorPreyModelWithSwitchingForPredator

    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...

    https://simiode.org/resources/4466

  18. 2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes

    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 Preface Differential equations are ubiquitous in the sciences. The study of any phenomenon in the...

    https://simiode.org/resources/4463

  19. FirstOrderModels

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

    Modeling with First Order Equations Mathematical models characterize physical systems, often using differential equations. Model Construction: Translating physical situation into...

    https://simiode.org/resources/4461

  20. LeakingBucket: Differential Equations in Engineering

    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 Objective The objective of this laboratory is to learn about first...

    https://simiode.org/resources/4459