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  1. 2012-Busch-ContinuousSimulationWithODEs

    28 Nov 2017 | Contributor(s):: Brian Winkel

    Busch, Julian. 2012. Continuous simulation with ordinary differential equations.  PowerPoint slides. 41 slides.This is a talk given with emphasis on differential equations and numerical methods leading to application for N-body simulation. Keyword: differential equation, N-body,...

  2. 2014-Easton-MathModelsOfHealthFocusingOnDiabetes-DelayDEAndDataMining

    28 Nov 2017 | 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. http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have been applied to...

  3. 2017-DurojayAjie-MathModelOfSPreadOfEbolaVirusDisease

    28 Nov 2017 | Contributor(s):: Brian Winkel

    Durojaye, M. O. 2017.  Mathematical Model of the Spread and Control of Ebola Virus Disease. Applied Mathematics. 7(2): 23-31.Abstract This paper analyses the transmission dynamics of Ebola Virus Disease using the modified SEIR model which is a system of ordinary differential equation. We...

  4. 2012-Dominguez-GomperzModel-AnalytisForTumors

    28 Nov 2017 | Contributor(s):: Brian Winkel

    Domingues, José Sérgio. 2012.  Gompertz Model: Resolution and Analysis for Tumors. Journal of Mathematical Modelling and Application. 1(7): 70-77.Abstract:  It is called cancer a wide range of diseases that has in common an unusual cells proliferation of the organism...

  5. 2011-Xiao-StudyOfMalariaTransmissionDynamicsByMathModels

    26 Nov 2017 | Contributor(s):: Brian Winkel

    Xiao,Yanyu. 2011. Study of Malaria Transmission Dynamics by Mathematical Models. Doctoral thesis. The Unversity of Western Ontario.Abstract: This Ph.D thesis focuses on modeling transmission and dispersal of one of the most common infectious diseases, malaria.Firstly, an integro-differential...

  6. 2007-LiEtAl-DynamicBehaviorOfAParasite-HostModelWithGeneralIncidence

    26 Nov 2017 | Contributor(s):: Brian Winkel

    Li, Guihua, Wendi Wang, Kaifa Wang, and Zhen Jinc. 2007. Dynamic behavior of a parasite–host model with general incidence . J. Math. Anal. Appl. 331: 631–643Abstract: In this paper, we consider the global dynamics of a microparasite model with more general incidences. For the...

  7. 2008-Taro-DifferentialEquationsInOurLife

    26 Nov 2017 | Contributor(s):: Brian Winkel

    Taro. 2008. Taro's Blog on Modern Political Economy:  Differential Equations in Our Life.  http://tarookamoto.blogspot.com/2007/07/differential-equations-in-our-life.html?m=1.  Accessed 27 November 2017.From the opening lines, “Differential equations - easy to hear but...

  8. 2008-HuetDeffuant-DEModelsDerivedFromIndividualModelCanHelpUnderstandEmergentEffects

    26 Nov 2017 | Contributor(s):: Brian Winkel

    Huet, Sylvie and Guillaume Deffuant. 2008. Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects. Journal of Artificial Societies and Social Simulation . 11(2): 10. http://jasss.soc.surrey.ac.uk/11/2/10.html Accessed 27 November...

  9. 1988-Strogatz-LoveAffairsAndDifferentialEquations

    26 Nov 2017 | 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 Shakespeare’s Romeo and Juliet.Keywords: differential equation, system, linear, parameters 

  10. 1986-Byori-ConnectionsBetweenCompartmentSystems-IntegroDifferentiaoEquations

    26 Nov 2017 | Contributor(s):: Brian Winkel

    1986. Gyori, Istvan. Connections between compartment systems with pipes and integro-differential equations.  Mathematical Modeling. 7:  1215-1238.Abstract:  Compartmental models are a frequently used tool for the mathematical description of physiologic processes. In the classical...

  11. 2010-Hussein-Predator-PreyModeling

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2010. Hussein, Shaza. Predator-Prey Modeling. Undergraduate Journal of Mathematical Modeling: One + Two. 3(1):  Article 20. http://scholarcommons.usf.edu/ujmm/vol3/iss1/32 .   Accessed 27 November 2017.Abstract. Predator-prey models are useful and often used in the environmental...

  12. 2016-Pakdermi-MathDesignOfHighWayExitCurve

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2016. Pakdemirli, Mehmet, Mathematical design of a highway exit curve. Int. J. Math. Educ. Sci. Technol. 47(1): 132-139.Summary: A highway exit curve is designed under the assumption that the tangential and normal components of the acceleration of the vehicle remain constant throughout the path....

  13. 2012-Busch-ContinuousSimulationWithODEs

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2012. Busch, Julian. Continuous Simulation with Ordinary Differential Equations. Seminar - Modeling and Simulation. University of Hamburg, Department of Informatics Scientific Computing. PowerPoint. 39 slides.There is a presentation of ordinary differential equations, numerical  techniques...

  14. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

  15. 2017-Honchar-NeuralNetworksForSolvingDifferentialEquations

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2017. Honchar, Alex.  Neural Networks For Solving Differential Equations.  https://becominghuman.ai/neural-networks-for-solving-differential-equations-fa230ac5e04c. Accessed 27 November 2017.We quote from the opening by the auth0r,“We mostly know neural networks as big...

  16. 2000-deOliveraEtAl-PinholeWaterFlowFromCylindricalBottles

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2000. deOlivera, Paulo Murilo Castro, Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite.  Pinhole Water Flow From Cylindrical Bottles. Phys.Educ. 35(2): 110-119.From the opening of the article,  "We performed an experiment on elementary hydrodynamics. The...

  17. 2002-DietzHeesterbeek-DavidBernoulliEpidemiologicalModelRevisited

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2002. Dietz, Klaus and  J.A.P. Heesterbeek.  Daniel Bernoulli’s epidemiological model revisited. Mathematical Biosciences. 180:   1–21.Abstract: The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of...

  18. 2006-SalemAbudiah-LabView-InteractiveTeachingToolForDEClass

    25 Nov 2017 | Contributor(s):: Brian Winkel

    2006. Salem, Asad A.  and Mufid Abudiab.  Labview: An Interactive Teaching Tool for a Differential Equations Class.Journal of Mathematical Sciences & Mathematics Education. 1(2): 1-6. Abstract: It is evident that computer based learning has become an essential part of...

  19. Pretty Good Physics

    13 Nov 2017 | Contributor(s):: Brian Winkel

    We were introduced to PrettyGood Physics  by a high school physics teacher colleague, Paul Beeken, Physics, Byram Hills High School, Armonk NY USA.  He has posted some very nice materials there on differential equations. All the material at this website is free and...

  20. IDEA - Internet Differential Equations Activities

    08 Nov 2017 | Contributor(s):: Brian Winkel

    Cooper, Kevin.  IDEA - Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of  IDEA - Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...