You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    2018-W_Hohenauer-Physical modelling based on first order ODEs
    An introduction in techniques to solve first order ODE´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth...

    Keywords: dischargecapacitormagnetic fieldinductionmagnetic induction

    188

    views

    74

    downloads

    0

    comments

    0

    adaptations

    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

    248

    views

    62

    downloads

    0

    comments

    0

    adaptations

    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

    176

    views

    86

    downloads

    0

    comments

    0

    adaptations

    2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from...

    Keywords: asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants

    221

    views

    76

    downloads

    0

    comments

    0

    adaptations

    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.

    Keywords: epidemicParticle Swarm Optimizationoptimize parameters

    145

    views

    74

    downloads

    0

    comments

    0

    adaptations

    2017-William_Bialek-Boxes and Arrows To Differential Equations
    This material uses pictures to build kinetic models of reactions and then offers analytic solutions.

    Keywords: Michaelis-MentenEnzymesubstrateDNA\kinetis

    127

    views

    50

    downloads

    0

    comments

    0

    adaptations

    2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
    With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.

    Keywords: sportsprojectilehammer throwrelease angle

    308

    views

    44

    downloads

    0

    comments

    0

    adaptations

    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.

    Keywords: spring massbifurcationmass actionlimit cycles

    127

    views

    64

    downloads

    0

    comments

    0

    adaptations

    2017-Gilbert-Lewis-Harvesting of renewable natural resource
    This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises

    Keywords: logisticmaximum sustainable yieldwhaleharvestrenewable resourceconstant harvest

    146

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2017-Floyd_Ballard-Dice Activities for DE Models
    This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a real-world...

    Keywords: simulationcurve fittingcdicecollect dataclass activitiesanalyze dataclass activity

    198

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
    In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.

    Keywords: population dynamicsLogistic modelMalthus ModelPopulation Prediction Control

    174

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
    This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.

    Keywords: spring massstiffnessspringspotential energyforcenonlinear springlinear spring

    100

    views

    34

    downloads

    0

    comments

    0

    adaptations

    2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
    Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.

    Keywords: cancertumor-inhibiting cytotoxic actiontumor-promoting inflammationimmune-induced tumor dormancytumor growth dynamics

    146

    views

    47

    downloads

    0

    comments

    0

    adaptations

    2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
    Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.

    Keywords: extinctionCoevolutionpredatorLotka Volterra equationspre

    157

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2015-Just-Callender-Differential equation models of disease transmission
    The work give full analyses of standard epidemic model and then shows how to do it with differential equations and agent-based modeling. Then it compares the results.

    Keywords: disease transmissionSIR modelsepidemicagent-based

    130

    views

    42

    downloads

    0

    comments

    0

    adaptations

    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

    124

    views

    56

    downloads

    0

    comments

    0

    adaptations

    2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
    This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.

    Keywords: diabeteshealth model

    92

    views

    85

    downloads

    0

    comments

    0

    adaptations

    2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
    We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.

    Keywords: population dynamics

    129

    views

    38

    downloads

    0

    comments

    0

    adaptations

    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer...

    Keywords: cancertumorfittingagent-based

    122

    views

    83

    downloads

    0

    comments

    0

    adaptations

    2015-Goodnow-EtAl-Mathematical Models of Water Clocks
    This is a historical tour of water clocks, known as clepsydra a Greek word meaning water thief. These devices were for telling time.

    Keywords: Torricelli's Lawwater clockBernoulli's Lawclepsydra

    95

    views

    44

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search