Tags: system

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  1. 5-010-S-DNADegradation

    21 Apr 2020 | | Contributor(s):: Brian Winkel

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  2. 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...

  3. 2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquations

    06 Apr 2020 | | Contributor(s):: Brian Winkel

    2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22 SynopsisIn this paper, simple ordinary differential...

  4. 2018-WeberEtAl-SensitivityAnalysisOfODEModels

    06 Apr 2020 | | Contributor(s):: Brian Winkel

    2018-WeberEtAl-SensitivityAnalysisOfODEModelsWeber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs. 2018. Sensitivity Analysis of Ordinary Differential Equation Models.IntroductionThe goal of sensitivity analysis is to examine how sensitive a mathematical model...

  5. 2009-Marten-ODEsForStudyingEpilepsyDynamics

    04 Apr 2020 | | Contributor(s):: Brian Winkel

    2009-Marten-ODEsForStudyingEpilepsyDynamicsMarten, Frank, Serafim Rodrigues, Piotr Suffczynski, Mark P. Richardson, and John R. Terry. 2009. Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. Phys. Rev. E 79,...

  6. 2018-BlomhojEtAl-CompartmentModels

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    2018-BlomhojEtAl-CompartmentModelsM. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical...

  7. 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....

  8. 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...

  9. 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,...

  10. 2009-NoakeSleigh-AirflowInfectionHospitalWards

    29 Mar 2020 | | Contributor(s):: Brian Winkel

    2009-NoakeSleigh-AirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.Abstract: Understanding the risk of...

  11. 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....

  12. 2017-BiswasEtAl-MathModeling-SustainableMarineResources

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    2017-BiswasEtAl-MathModeling-SustainableMarineResourcesBiswasa,  Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344.Abstract: In this work, we...

  13. 2015-JoshiEtAl-OptControl-SIRModelThrough Education Campaign

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    2015-JoshiEtAl-OptControl-SIRModelThrough Education CampaignHEM RAJ JOSHI, SUZANNE LENHART, SANJUKTA HOTA, FOLASHADE AGUSTO. 2015. OPTIMAL CONTROL OF AN SIR MODEL WITH CHANGINGBEHAVIOR THROUGH AN EDUCATION CAMPAIGN. Electronic Journal of Differential Equations. 2015(50):...

  14. 2014-Hrydziuszku EtAl-TwoCompartmentModelCholesterolTransport

    27 Mar 2020 | | Contributor(s):: Brian Winkel

    2014-Hrydziuszko EtAl-TwoCompartmentModelCholesterolTransportOlga Hrydziuszko Artur Wronaa Joanna Balbusb Krystian Kubicaa. 2014. Mathematical Two-compartment Model of Human Cholesterol Transport in Application to High Blood Cholesterol Diagnosis and Treatment. Electronic Notes in Theoretical...

  15. 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...

  16. 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...

  17. 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...

  18. 2017-Liu-Mathematical Studies of Optimal Economic Growth Model

    25 Mar 2020 | | Contributor(s):: Brian Winkel

    2017-Liu-Mathematical Studies of Optimal Economic Growth ModelLiu, Xiang . 2017. Mathematical Studies of Optimal Economic Growth Model with Monetary Policy. College of William & Mary: W&M Scholar Works. Thesis. 58 pp.AbstractIn this paper, efforts will be made to study an...

  19. 2000-Erdman-StudyOfKinetics-FirstOrderODE

    25 Mar 2020 | | Contributor(s):: Brian Winkel

    2000-Erdman-StudyOfKinetics-FirstOrderODEErdman, Donald  and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of First-Order Differential Equations. Notes. 8 pp. Abstract: This paper introduces new and old features of the SAS System...

  20. 2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzation

    24 Mar 2020 | | Contributor(s):: Brian Winkel

    2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzationAkman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Journal of Applied Mathematics.Volume 2018. pp 1-10.Abstract: Researchers using ordinary differential equations to model phenomena face two main challenges among...

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