Tags: system

All Categories (1-20 of 60)

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

    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:...

    https://simiode.org/resources/5792

  3. 6-024-S-DronePackageDelivery

    18 Sep 2018 | Modeling Scenarios | Contributor(s): Eric Stachura, Robert Krueger

    In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which...

    https://simiode.org/resources/5422

  4. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios | Contributor(s): Jue Wang

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model...

    https://simiode.org/resources/5215

  5. 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

  6. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios | Contributor(s): Mehdi Hakim-Hashemi

    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve...

    https://simiode.org/resources/5138

  7. 6-007-S-FunctionsAndDerivativesInSIRModels

    12 Aug 2018 | Modeling Scenarios | Contributor(s): Meredith Greer

    https://simiode.org/resources/4884

  8. 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

  9. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Chris Rasmussen, Michael Keynes

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320. Abstract: The purpose of this...

    https://simiode.org/resources/4446

  10. 2011-Gaff EtAl-OptimalControlManagementTickBorneDisease

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5):...

    https://simiode.org/resources/4444

  11. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

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

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462. Abstract: This paper deals with the...

    https://simiode.org/resources/4440

  12. 2005-Sprott-DynamicModelsOfHappiness

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Sprott, J. C. 2005. Dynamical Models of Happiness. Nonlinear Dynamics, Psychology, and Life Sciences. 9(1): 23-35. Abstract: A sequence of models for the time evolution of one’s happiness...

    https://simiode.org/resources/4361

  13. 2007-ZenkerEtAl-InverseProblemsInMathPhysiology

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Zenker S, J. Rubin, and G. Clermont. 2007. From inverse problems in mathematical physiology to quantitative differential diagnoses. PLoS Comput Biol.  3(11): e204. Abstract: The improved...

    https://simiode.org/resources/4355

  14. 2016-LifgrenEtAl-EquationsOfTheEnd-MathModelingUsingZombieApocapylse

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright. 2016. Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse. Journal of Microbiology &...

    https://simiode.org/resources/4353

  15. 2014-Easton-MathModelsOfHealthFocusingOnDiabetes-DelayDEAndDataMining

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Easton, Jonathan. 2015.  Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis.  Northumbria University Newcastle....

    https://simiode.org/resources/4347

  16. 1988-Strogatz-LoveAffairsAndDifferentialEquations

    26 Nov 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Strogatz, Steven H. 1988. Love Affairs and Differential Equations. Mathematics Magazine. 61(7):  35. This is a system of differential equations to describe the love between...

    https://simiode.org/resources/4333

  17. 2017-Adler-Mathematically Modeling Asthma-SIAM

    09 Oct 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Adler, Fred. 2017 Mathematicslly Modeling Asthma. Blog Posting.  3 pp. https://sinews.siam.org/Details-Page/mathematically-modeling-asthma . Accessed 9 October 2017. From the article,...

    https://simiode.org/resources/4258

  18. Ramsay-From Data To Differential Equations

    23 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Ramsay, Jim.  From Data To Differential Equations. Presentation. 52 slides. Themes: Differential equations are powerful tools for modeling data. There are new methods for...

    https://simiode.org/resources/4245

  19. 2011-CaoEtAl-Robust Estimation for Ordinary Differential Equation Models

    23 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Cao, J., L. Wang, J. Xu. 2011. Robust estimation for ordinary differential equation models. Biometrics.  67(4): 1305-13. Abstract: Applied scientists often like to use ordinary...

    https://simiode.org/resources/4243

  20. 2009-Wilson-Differential Equation Models for Forecasting Highway Traffic Flow

    23 Sep 2017 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    Wilson, R. Eddie. 2009. Differential Equation Models for Forecasting Highway Traffic Flow Presentation at Conference on Traffic Modelling. The Open University, Milton Keynes, UK. 31 March. 32...

    https://simiode.org/resources/4241