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
    2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
    The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle...

    Keywords: case studyRunge-Kuttaspring mass dampervehicle crash

    361

    views

    94

    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

    152

    views

    70

    downloads

    0

    comments

    0

    adaptations

    2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
    In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential...

    Keywords: optimizationBiochemistrysensitivity analysischromatographymass actioncluster analysisconservation lawsdimerizationestrogen receptor protein

    192

    views

    68

    downloads

    0

    comments

    0

    adaptations

    2017-CW_Groetsch-Hammer and Feather - Some Calculus of Mass and Fall Time
    Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a falcon feather on the surface of the moon to...

    Keywords: gravityfree falllinear resistancequadratic resistancehammerfeatherMoon resistanceGalileo

    166

    views

    59

    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

    120

    views

    40

    downloads

    0

    comments

    0

    adaptations

    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

    128

    views

    59

    downloads

    0

    comments

    0

    adaptations

    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.

    Keywords: circuitvoltagecapacitornondimensionalization

    148

    views

    77

    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

    190

    views

    70

    downloads

    0

    comments

    0

    adaptations

    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...

    Keywords: carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.

    143

    views

    70

    downloads

    0

    comments

    0

    adaptations

    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: spring massoscillationHooke's Lawcoupled springsperiodicforcing functionphase portrait

    116

    views

    61

    downloads

    0

    comments

    0

    adaptations

    2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
    In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.

    Keywords: laboratoryexperimentspring massair frictionapparatuswaveforms

    156

    views

    39

    downloads

    0

    comments

    0

    adaptations

    2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
    We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.

    Keywords: NetLogospring massagent-baseddrapingyarnfabric

    152

    views

    51

    downloads

    0

    comments

    0

    adaptations

    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

    135

    views

    35

    downloads

    0

    comments

    0

    adaptations

    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

    162

    views

    58

    downloads

    0

    comments

    0

    adaptations

    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

    Keywords: simulationpredator-preyLotka-VolterrapopulationCanadian LynxSnowshoe Harecritical values

    206

    views

    60

    downloads

    0

    comments

    0

    adaptations

    2009-Shamim-EtAl-Investigating viscous damping using a webcam
    We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.

    Keywords: laboratoryunderdampedoverdampedcritically dampedharmonic motionimage processingviscous fluid

    191

    views

    49

    downloads

    0

    comments

    0

    adaptations

    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

    222

    views

    51

    downloads

    0

    comments

    0

    adaptations

    2009-James_May-Nonlinear vibration control of long flexible structures
    An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order...

    Keywords: vibrationdampingtuned mass damperviscousnodalmodel dampingflexible structureenergy transfer

    144

    views

    52

    downloads

    0

    comments

    0

    adaptations

    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...

    Keywords: dynamical systemschemical reactionreaction networkmass action

    171

    views

    48

    downloads

    0

    comments

    0

    adaptations

    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

    134

    views

    52

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search