
2005SprottDynamicModelsOfHappiness
28 Nov 2017
Sprott, J. C. 2005. Dynamical Models of Happiness. Nonlinear Dynamics, Psychology, and Life Sciences. 9(1): 2335.Abstract: A sequence of models for the time evolution of one’s happiness in response to external events is described. These models with added nonlinearities can produce stable...

1999DeuflhardDifferentialEquationsInTechnologyAndMedicine
28 Nov 2017
Deuflhard, Peter. 1999. Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs.CIME Lectures. Preprint SC 9934. (September 1999). Notes: 66 pp.Abstract: This series of lectures has been given to a class of mathematics postdocs...

2008MohamddenMSExcelForSolvingSecondOrderODEs
28 Nov 2017
Mohameden, Ahmed. 2008. Solving initialvalue second order ordinary differential equations on an Excel© spreadsheet. MSOR Connections. 8(4): November 2008 – January 2009. 2125.Abstract: This paper presents a friendly method of solving initialvalue second order differential...

2007ZenkerEtAlInverseProblemsInMathPhysiology
28 Nov 2017
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 capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in...

2011XiaoStudyOfMalariaTransmissionDynamicsByMathModels
26 Nov 2017
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 integrodifferential...

1988StrogatzLoveAffairsAndDifferentialEquations
26 Nov 2017  Contributor(s): Karen Bliss
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

2012BuschContinuousSimulationWithODEs
26 Nov 2017
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...

2015EndaleApplicationsOfODEsToRealWorldSystems
26 Nov 2017
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...

2017HoncharNeuralNetworksForSolvingDifferentialEquations
26 Nov 2017
2017. Honchar, Alex. Neural Networks For Solving Differential Equations. https://becominghuman.ai/neuralnetworksforsolvingdifferentialequationsfa230ac5e04c. Accessed 27 November 2017.We quote from the opening by the auth0r,“We mostly know neural networks as big...

2006SalemAbudiahLabViewInteractiveTeachingToolForDEClass
25 Nov 2017
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): 16. Abstract: It is evident that computer based learning has become an essential part of education...

Experiences with Teaching Differential Equations in Context Using Modeling
25 Sep 2017
Brian Winkel, Director SIMIODE, gave a talk at Department of Mathematics, Seminar, at Clarkson University, Potsdam NY USA on 28 September 2017.Title: Experiences with Teaching Differential Equations in Context Using ModelingAbstract: We share experiences and examples of using modeling to motivate...

2016ManheimEtAl Improving Decision Support for Infectious Disease Prevention and Control
23 Sep 2017
David Manheim, David, Margaret Chamberlin, Osonde A. Osoba, Raffaele Vardavas, Melinda Moore. 2017. Improving Decision Support for Infectious Disease Prevention and Control: Aligning Models and Other Tools with Policymakers’ Needs. Rand Corporation. 51...

1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

2015EastonMathematical models of health focusing on diabetes
11 Sep 2017  Potential Scenario Ideas  Contributor(s): Karen Bliss
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis, 186 pp. Northumbria University. http://nrl.northumbria.ac.uk/23582/ . Accessed 10 September 2017.This is an exhaustive study with very good...

2013SlavikMixing Problems with Many Tanks
10 Sep 2017  Potential Scenario Ideas  Contributor(s): Karen Bliss
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations. Keywords: tank, circula,...

Sousa  mathispower4u Differential Equations Videos
10 Sep 2017  General Resources
Sousa, James. mathispower4u Differential Equations Videos.http://www.mathispower4u.com/diffeq.php . Accessed 10 September 2017. Here is a list of just the Introduction to Differential Equations videosIntroduction to Differential Equation TerminologyDifferential Equations: Find the...

1994YamagutiDescrete Models in Social Sciences
10 Sep 2017  Potential Scenario Ideas
Yamaguti, M. 1994. Discrete Models in Social Sciences. Computers Math. Applic. 28(1012): 263267.Abstract: Behaviors of solutions of a differential equation and its discretization sometimes differ greatly from each other. For example, even if a differential equation has no chaotic...

Chapter Nine – Mathematical Models with Differential Equations.
10 Sep 2017  Potential Scenario Ideas
Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

KatulENV264  Applied DE in Env Sci Models
10 Sep 2017  Potential Scenario Ideas
Katul, Gabriel G. ENV264 Applied Differential Equations in Environmental Sciences. Notes.Many environmental problems require the construction and solution to equations (or systems of equations) that involve relations between rates and states of environmental variables. The objective of this...

1994BlanchardDifferential Equations Dynamical System Viewpoint
09 Sep 2017  Potential Scenario Ideas
Blanchard, Paul. 1993. 2011. Teaching Differential Equations With a Dynamical Systems Viewpoint. Notes. 11 pp.This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.Keywords: differential equations, model,...