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    Potential Scenario
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    2019-Dimopulos-Heaney-Bukaida-IceCoverageInTheArcticClimateOverTime
    Through extensive research, it was found that the region’s oldest and thickest ice on this extent has significantly and continually decreased over the years.
    Antarctic foodd websBiodiversity declineice coveragepolar bear
    Potential Scenario
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    39

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    2004-Hill-Lozowski-Sampson-Experiments on ice spikes and a simple growth model
    We observed ice-spike growth using time-lapse digital photography, using two water types in two different containers.
    iceice spikebulk heat transfermass conservation
    Modeling Scenario
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    510

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    1-012-Sublimation-Modeling Scenario
    We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the...
    sublimationdry ice
    Modeling Scenario
    373

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    250

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    1-020-IceMelt-ModelingScenario
    We offer up the claim of a store catalog that its ice ball mold allows users to ``. . . make ice balls that outlast cubes and won't water drinks down.'' We ask students to build a mathematical model to defend or contradict this claim.
    sphereicemeltcube
    Modeling Scenario
    290

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    152

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    3-063-FallingBuildingIce-ModelingScenario
    We model the fall of a piece of ice which is falling from a high building in New York City.
    resistancefallinggravityiceterminal velocityskyscrapers
    Modeling Scenario
    276

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    221

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    6-010-SocialCampaign-ModelingScenario
    The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
    diseasegrowth rateJudgment and Decision MakingSIR modelinfections diseasesocial campaignrecovery ratedelay timejoining processquitting processexponential distribution
    Free Online Textbook
    153

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    99

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    2017-Russell+Herman-A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers
    This is a self-published text book with excellent coverage and solid mathematics and theory to support applications.
    textbookengineeringapplications
    Article or Presentation
    186

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    67

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    2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
    We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.
    dataparameter estimationcarbon dioxidesublimationdry ice
    Modeling Scenario
    406

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    646

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    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
    energy balanceclimateenergyalbedoHysteresisbifurcationice-agegreenhousebalanceStefan Boltzmann Law
    Potential Scenario
    170

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    71

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
    least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO
    Potential Scenario
    205

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    72

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    2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
    . In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
    vaccinemalariamigrationeradicationseasonality
    Potential Scenario
    154

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    47

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    2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
    In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
    vaccinationcompartmentherd immunitymeaslesoptimal strategy
    Modeling Scenario
    345

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    471

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    1-028-SouthernSweetIcedTea-ModelingScenario
    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea. We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.
    dataNewton's Law of Coolingteasweet tea
    Potential Scenario
    137

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    48

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    2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
    We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.
    estimating equationfunctional data analysisGauss–Newton methodparameter cascadeprofiled estimationdynamic system
    Free Online Textbook
    173

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    58

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    2017-Craig_Tracy-Lectures on Differential Equations
    These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
    physicsoscillation
    Potential Scenario
    259

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    63

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    2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
    We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.
    vaccinationinfectionSIRepidemic
    Potential Scenario
    165

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    66

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
    financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation
    Potential Scenario
    190

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    77

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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
    population dynamicsecologydynamicsclassical mechanicschemical reaction
    Potential Scenario
    252

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    88

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
    fishpredator-preylogisticpopulationdelaylag